| Description |
1 online resource (2 volumes (xxxii, 1490 pages)) : illustrations |
| Contents |
Vol. one. I.1. Function spaces and fractional calculus (V.I. Burenkov, St. Samko). Some properties of spaces with multiweighted derivatives / A.A. Kalybay and R. Oinarov -- Estimates of regularized solutions of equations of convolution type in anisotropic function spaces with noninteger order of smoothness / V.I. Burenkov and G.E. Garcia Almeida -- The imbedding theorems on the Lizorkin-Triebel-Morrey type space / V.S. Guliev and A.M. Najafov -- Weighted effects of some integral operators and their applications / V.S. Guliev -- Limits imbedding theorems on the anisotropic Sobolev-Bessel space / V.S. Guliev and A. Kh. Narimanov -- Sharp estimates for integrals over small intervals for functions possessing some smoothness / V.I. Burenkov -- John domains and homogeneous cone condition on the Carnot group / A. Greshnov -- Function space and ordered linear space / S. Koshi and N. Komuro -- The scope of a functional calculus approach to fractional differential equations / S. Kempfle and H. Beyer -- I.2. Asymptotic decompositon (methods of small parameters, averaging theory) (Ju. A. Dubinski). On integral means inequalities for generalized subclasses of analytic functions / T. Sekine and S. Owa -- Obtaining the self-similar asymptotics of solutions to the Navier-Stokes equations by power geometry / M.M. Vasiliev -- I.3. Integral transforms and applications (S. Saitoh, H.-J. Glaeske, R. Gorenflo). A generalized Fourier transform / S. Watanabe -- Bessel-type integral transforms and H-transforms / A. Kilbas -- Applications of the Fourier transform to some resolvent estimates for the Stokes system / Y. Shibata and S. Shimizu -- I.4. Analytic functionals, hyperfunctions and generalized functions (M. Morimoto, H. Komatsu). Iterates of differential operators / C. Bouzar and R. Chaili -- Two definitions of Boehmians on the sphere / M. Morimoto -- The Picard group, the Whitehead link and Jørgensen groups / H. Sato -- Construction de la solution borne du second problème de cousin dans le polydisque de [symbol], (n [symbol] 3) / K. Katô -- I.5. Geometric function theory (G. Kohr, M. Kohr). Coverings and convergence theorems / C. Andreian Cazacu -- Quasiconformal BMO homeomorphisms between Riemann surfaces / V. Stanciu -- Notes on certain subordinations / S. Owa -- Bounded holomorphic function with some boundary behavior / T. Matsushima -- Biholomorphic mappings and parametric representation in several complex variables / G. Kohr -- On stability of a class of convex functions / M. Korobkov |
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I.6. Complex function spaces (R. Aulaskari, I. Laine). Division by inner functions / D. Girela and Ch. Gonzáles -- Avoidance criteria for normal families and normal functions / P. Lappan -- A non-normal function related Qp space s and its applications / H. Wulan -- Unique range sets for polynomials or rational functions / G.G. Gundersen and K. Tohge -- Unique range sets in positive characteristic / A. Boutabaa, A. Escassut and W. Cherry -- Integral norms for hyperholomorphic Bloch-functions in the unit ball of [symbol] / K. Gürlebeck and A. El-Sayed -- On Bloch-Hardy pullbacks / F. Pérez-González and J. Xiao -- On the effectiveness of basic sets of polynomials of several complex variables in elliptical regions / Z.M.G. Khishka and A. El-Sayed -- I.7. Value distribution theory and complex dynamics (C.C. Yang). Uniqueness problem of meromorphic mappings on analytic covering spaces / Y. Aihara -- On the deficiency of holomorphic curves with maximal deficiency sum, II / N. Toda -- On growth and domains of holomorphy of generating functions of Pólya frequency sequences / M.T. Alzugaray -- A Note on factorization of the Weierstrass PS-function / K. Ishizaki -- II. 1. Clifford analysis (K. Gürlebeck, M. Shapiro, W. Sprößig). The space of monogenic BMO-functions and a John-Nirenberg inequality / S. Bernstein -- A complete system of homogeneous monogenic polynomials and their derivatives / I. Cação and K. Gürlebeck -- Complete function systems and decomposition results arising in Clifford analysis / D.A. Lakew and J. Ryan -- K-hypermonogenic functions / S.-L. Eriksson-Bique -- Commutative algebras in Clifford analysis / Y. Krasnov -- Quaternionic equation for electromagnetic fields in inhomogeneous media / V.V. Kravchenko -- Construction of a right inverse operator to the discrete Cauchy-Riemann operator / A. Hommel -- On boundary properties of [alpha]-hyperholomorphic functions in domains of [symbol] with piece-wise Liapunov boundary / O. Gerus, B. Schneider and M. Shapiro -- Clifford analysis on super space II / F. Sommen -- II. 2. Octonions (T. Dray, C. Monogue). Spacetime algebras and twistor theory / A.F. Agnew -- From pure spinors to fermion's-physics / P. Budinich -- An explicit construction of real pre-Hurwitz algebras / N. Fujimoto [and others] -- III. 1. Nonlinear potential theory (O. Martio). Integral formula and its applications to the [symbol] problem and the extension problem / K. Adachi -- Removable singularities for analytic functions in Hardy spaces, BMO and locally Lipschitz spaces / A. Björn -- Weighted Sobolev spaces and quasielliptic operators in [symbol] / G.V. Demidenko -- III. 2. Classical and fine potential theory, holomorphic and finely holomorphic functions (P. Tamrazov). Nonorientable compactifications of Riemann surfaces / I. Barza and D. Ghisa -- Contour-solid theorem for meromorphic functions taking multivalence into account / T. Aliyev and P.M. Tamrazov |
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IV. 1. Differential geometry and control theory for PDEs (B. Gulliver, W. Littman, R. Triggiani). Geometric optics and convex functions in the boundary control of the wave equation / M. Galbraith -- Carleman estimates, optimal three cylinder inequalities and unique continuation properties for parabolic operators / S. Vessella -- The use of geometric tools in the boundary control of partial differential equations / R. Gulliver and W. Littman -- IV. 2. Differential geometry and quantum physics ( -- ). Point transformations and Painlevé equations / V. Dmitrieva -- A noncommutative differential geometric method to fractal geometry (I) (representations of Cuntz algebras of Hausdorff type on self similar fractal sets) / M. Mori, O. Suzuki and Y. Watatani -- V.2. Dynamical systems (B. Fiedler). Effects of different nonlinear parametric resonant perturbations on suppression of chaos / A. Azouani and M. Belhaq -- Limit cycle bifurcations in polynomial models of dynamical systems / V.A. Gaiko -- Lower estimates of the topological entropy for dynamical systems on Riemannian manifolds / K. Gelfert -- Inertial manifolds for nonautonomous evolution equations / N. Koksch and S. Siegmund -- On fixed points and chaotic limit sets / J. Kampen -- Quadratically convergent initial values to a double root in Newton's method of two variables / Y. Yamagishi -- V.3. Attractors for partial differential equations (G. Raugel). Computing specific isolating neighborhoods / O. Junge -- V.4. Spectral theory of differential operators (B. Vainberg). Spectral gaps for periodic elliptic operators with high contrast: an overview / R. Hempel and O. Post -- Shallow potential wells for the Schrödinger equation and water waves / P. Zhevandrov and A. Merzon -- On attractor of a singular nonlinear U(l)-invariant Klein-Gordon equation / A.I. Komech -- Limit behaviour of the exterior resolvent for vanishing obstacles / Y. Dermenjian and E. Jalade -- Degenerate elliptic mixed boundary value problems: positive solutions, principal eigenvalue, Green function and criticality theory / Y. Pinchover and T. Saadon -- On convergence to the equilibrium distribution. Harmonic crystal with mixing / T.V. Dudnikova, A.I. Komech and H. Spohn -- An asymptotic model for wave propagation in thin high contrast 2D acoustic media / N. Benchama and P. Kuchment -- Spectral properties of certain differential operators in uniform waveguides / P.H. Lesky -- V.5. Pseudodifferential operators, quantization and signal analysis (M.W. Wong). Anti-Wick quantization of tempered distributions / P. Boggiatto and E. Cordero -- Localization operators on the affine group and paracommutators / M.W. Wong -- New methods in wavelet-based image denoising / J.S. Walker -- V.7. Microlocal analysis (B.-W. Schulze, M. Korey). Pseudodifferential operators and spaces of type S / M. Cappiello -- A class of L[symbol] bounded pseudodifferential operators / G. Garello and A. Morando -- Anomalous singularities of the solutions to several classes of weakly hyperbolic semilinear systems. Examples / P. Popivanov and I. Iordanov |
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Vol. two. V.8. Complex and functional analytic methods in PDEs (A. Cialdea, D.-Q. Dai, W. Lin). Logarithmic connections along a free divisor / A.G. Aleksandrov -- Weighted composition operators which induces a generalization of the Schröder equation / H. Vaezi and Y.N. Dehghan -- The Riemann-Hilbert-Poincaré problem for holomorphic functions in polydiscs / A. Mohammed -- On Hitotumatu's system / Y. Hayashi -- Bergman function and Dirichlet problem in Clifford analysis / W. Lin and J. Tao -- Haseman boundary value problems for bianalytic functions / Y. Zeng -- On the mixed problem for Laplace equation outside cuts, placed along a circumference in a plane / A.I. Sgibnev and P.A. Krutitskii -- Some boundary value problems of the theory of analytic functions on a cut plane / N. Manjavidze -- Constructive methods for boundary value problems for analytic functions / V.V. Mityushev and S.V. Rogosin -- On elliptic boundary value problems in the plane / H. Begehr and A. Soldatov -- Some problems for complex differential equations of Fuchsian type / D.-Q. Dai and M.-S. Liu -- Lines of catastrophe: problems, examples of solutions, connections with Nevanlinna theory and gamma-lines / G. Barsegian and H. Begehr -- On the region for convergence of trigonometric interpolation for analytic functions / J. Du and H. Liu -- Orthogonal decomposition in domains possessing a Green's function / A. Krausz -- On the spectrum of the operator curl / R.S. Saks -- The initial boundary value problem for one non-classical system of equations of second order / D. Kh. Safarov -- Support sets and support functionals and their applications to C*-algebra / Y. Dehghan and E. Sadeghi -- Two-parametric quantization of Lie bialgebras of the B[symbol] type / V.A. Golubeva and V.P. Lexin -- Star products and integrability / R. Carroll -- Some results about pairs of equations in rings with factorization pairs / G.S. Poletaev -- About one matrix equation with projectors and problems of mechanics / G.S. Poletaev and L.I. Soldatov -- V.9. Geometric properties of solutions of PDEs (R. Magnanini). A remark on a theorem by Hörmander / M.M. Eller -- Overdetermined problems in annular domains / A. Greco -- On stationary hot spots and isothermic surfaces / R. Magnanini and S. Sakaguchi -- On explicit radial entire and non-entire solutions / Ph. W. Schaefer and V. Goyal -- Generalized mean value property for caloric functions / A. Hakobyan and H. Shahgholian -- V.10. Qualitative properties of solutions of hyperbolic and Schrödinger equations (M. Reissig, K. Yagdjian). Asymptotics of impedance in complex frequency domain and inverse problem of the theory of ground penetrating radars / R.G. Airapetyan and G. Alexandrian -- Ill posedness for the 2-D wave map equation / P. D'Ancona and V. Georgiev -- Asymptotic behaviour of solutions for the nonlinear dissipative wave equation / T. Matsuyama |
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A pointwise oscillation property of a semilinear wave equation with a locally odd and increasing semilinear term / H. Uesaka -- Periodic solutions of nonlinear 3-D wave equations in sphere-symmetric domain with periodically oscillating boundaries / M. Yamaguchi -- Estimates of solutions to one-dimensional Schrödinger equation / I.V. Astashova -- Global smooth solutions for some linear and nonlinear evolution equations / D. Gourdin and M. Ghedamsi -- Global smoothing properties of dispersive equations with constant coefficients / T. Hoshiro -- Microlocal smoothing effect for Schrödinger equations in Gevrey spaces / K. Kajitani and G. Taglialatela -- Remarks on a quasi-linear hyperbolic mixed problem / Y. Shizuta -- On some decay estimates of solutions for some nonlinear degenerate diffusion equations / T. Nanbu -- Hamilton flows and nonlinear hyperbolic equations of first order / S. Miyatake -- Cauchy problem in inhomogeneous Gevrey classes / D. Calvo -- A general approach to the nonlinear hyperbolic Cauchy problem with constant multiplicity / M. Cicognani and L. Zanghirati -- Hyperbolic equations with non-absolutely continuous coefficients / M. Cicognani -- Necessary conditions for hyperbolic systems / A. Bove and T. Nishitani -- Non-solvability for an operator with multiple complex characteristics / P. Marcolongo and L. Rodino -- The Navier-Stokes flows changing to non-Newtonian flows / H. Kato -- Uniformly diagonalizable real systems, reduced dimension and symmetry / J. Vaillant -- The convergence of the Feynman path integrals in the weighted Sobolev spaces and Its application / W. Ichinose -- VI. 1. Homogenization moving boundaries and porous media (A. Bourgeat, R.P. Gilbert). The hyperbolic free boundary problem arising in film peeling phenomena / K. Nakane and T. Shinohara -- Modeling of nonlinear optical second harmonic generation in periodic structures / G. Bao and Z. Zhou -- Support splitting phenomena of the solution to the porous media equation with absorption / K. Tomoeda -- VI. 2. Constructive methods in applied problems (P. Krutitskii). Principle of telethoscope representing the solutions of partial differential equations by local data / S. Saitoh -- Smooth bifurcation for variational inequalities and reaction-diffusion systems / M. Kučera, L. Recke and J. Eisner -- Bifurcation analysis in diffusive logistic equations with nonlinear boundary conditions / K. Umezu -- The oblique derivative problem for the Laplace equation / D. Medková -- The mixed problem for harmonic functions outside a cut of an arbitrary shape / A.I. Sgibnev and P.A. Krutitskii -- Variational equations of higher order in the center-focus problem / V.P. Varin -- P-spaces applications to genetic data / B.S. Khots and D. Khots -- High-frequency diffraction by a shell / V.S. Buldyrev and N.G. Gelfreikh -- The jump problem for the equation of internal waves in a stratified rotating fluid / P.A. Krutitskii |
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Computation of stress fields on polygonal domains with V-notches or cracks / A. Jonsson -- On combining finite element methods and finite volume methods in computational fluid dynamics / F. Pascal -- A boundary integral method for an oscillatory Stokes flow past two bodies / M. Kohr -- Some numerical quadrature algorithms for the computation of MacDonald function / J.M. Rappoport -- A conduction model for transient heating of fuel droplets / S.S. Sazhin and P.A. Krutitskii -- Toward quantum transmutation / R. Carroll -- VI. 5. Waves in complex media (R.P. Gilbert, A. Wirgin). Radiation reflected from random rough surfaces using the stochastic expansion / W.C. Meecham and W.-W. Lin -- VI. 6. Nonlinear waves (I. Lasiecka, H. Koch). Existence and asymptotic behaviour for the solutions of the coupled Klein-Gordon-Schrödinger equations / V.N.D. Cavalcanti -- Phase transitions in hyperbolic conservation laws / R.M. Colombo -- Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term / M.M. Cavalcanti -- VI. 7. Mathematical analysis of problems in solid mechanics (K. Hackl, X. Li). The mixed boundary value problem for nonlinear nondivergence elliptic systems of second order equations with measurable coefficients in higher dimensional domains / D. Chen and G.-C. Wen -- Local existence and uniqueness for a model of finite multiplicative visco-plasticity and the role of an extended Korn's first inequality / P. Neff -- VI. 8. Direct and inverse scattering (L. Fishman). Comparison of modified gradient and contrast source inversion methods in elastodynamics / G. Pelekanos, A. Abubakar and P.M. van den Berg -- Photonic crystals: modal theory of PC fibers and numerical application / B. Kuhlmey, D. Maystre and G. Renversez -- Binary contrast source inversion method / A. Abubakar and P.M. van den Berg -- Furtivity and masking problems in time dependent acoustic obstacle scattering / L. Fatone, M.C. Recchioni and F. Zirilli -- Non-destructive control of dielectrics: mathematical models based on analytical regularization / A.A. Kirilenko, A. Ye. Poyedinchuk, N.P. Yashina -- VI. 9. Inverse problems (G.N. Makrakis, Y.S. Xu, M. Yamamoto). Imaging floating objects from underwater / R.P. Gilbert, A. Wirgin and Y. Xu -- Unambiguous reconstruction of the 2D boundary of a half-space probed by acoustic waves / J. Buchanan [and others] -- An optimization method for grating profile reconstruction / G. Bruckner, J. Elschner and M. Yamamoto -- A priori strategy in discretization of the Tikhonov regularization /J. Cheng, M. Yamamoto and J. Zou -- Low-frequency electromagnetic modeling and retrievel of simple orebodies in a conductive earth / G. Perrusson [and others] -- Recursive linearization of an inverse medium problem / G. Bao, J. Liu and H.-C. Wei |
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VI. 11. Mathematical methods in non-destructive evaluation and non-destructive testing (A. Wirgin). Evaluation of rotor unbalance without tests / Yu. L. Menshikov -- VII. 1. Numerical methods for PDEs, systems and optimization (A. Ben-Israel, I. Herrera). An inverse-free directional Newton method for solving systems of nonlinear equations / Y. Levin and A. Ben-Israel -- A charge simulation method for spatially periodic problems / H. Ogata [and others] -- Nonlinear non-Lipschitz polar Volterra integral equation in weighted Colombeau spaces / M. Stojanović -- Linear and nonlinear discriminant functions for the classification of high energy physics data / M. Mjahed |
| Summary |
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Mathematical analysis -- Congresses
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Mathematical physics -- Congresses
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematical analysis
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Mathematical physics
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Begehr, Heinrich G. W.
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Gilbert, Robert P., 1932-
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Wong, M. W. (Man Wah), 1951-
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| ISBN |
9789812794253 |
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9812794255 |
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