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Book Cover
E-book
Author Conca, Carlos

Title Partial Differential Equations and Inverse Problems
Published Providence : American Mathematical Society, 2004

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Description 1 online resource (426 pages)
Series Contemporary Mathematics ; v. 362
Contemporary Mathematics
Contents ""Contents""; ""Preface""; ""List of Participants""; ""Inverse Scattering on the Line with Incomplete Scattering Data""; ""On Universal Inequalities for the Low Eingenvalues of the Buckling Problem""; ""Continuous and Discrete Inverse Conductivity Problems""; ""Connection between the Lieb-Thirring Conjecture for Schrödinger Operators and an Isoperimetric Problem for Ovals on the Plane""; ""An Introduction to PDE Methods in Finance""; ""A Review of Some Recent Work on Impedance Imaging for Inhomogeneities of Low Volume Fraction""
""Matrix Bispectrality and Huygens' Principle for Dirac Operators""""2. Construction of the AKNS and mKdV hierarchies""; ""4. Special Solutions of the AKNS and mKdV Hierarchies""; ""6. The Bispectral Property and Conclusions""; ""References""; ""Well-Posedness for the Schrödinger-Debye Equation""; ""On Domains for which the Clamped Plate System is Positivity Preserving""; ""Entropy Dissipation and Wasserstein Metric Methods for the Viscous Burgers' Equation: Convergence to Diffusive Waves""; ""Remarks about the Flashing Rachet""
A Least Action Principle for Steepest Descent in a Non-Convex LandscapeA Network Tomography Problem Related to the Hypercube -- On the structure of the Schrodinger propagator -- The Downward Continuation Approach to Modeling and Inverse Scattering of Seismic Data in the Kirchhoff Approximation. -- Approximate invariant manifold of the Allen-Cahn flow in two dimensions -- On Some Spectral Problems of Mathematical Physics -- Inverse Problem for a Random Potential -- Pseudodifferential Analysis for the Laplacian on Noncompact Symmetric Spaces
Boundary structure and cohomology of b-complex manifoldsUnique Continuation Property for Elliptic Systems and Crack Determination in Anisotropic Elasticity -- Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent. -- High-Order Domain Variations in Boundary Value and Free Boundary Problems -- Radiation Fields and Inverse Scattering on Asymptotically Euclidean Manifolds -- Interactive Oscillation Sources in Signorini's Type Problems -- Inverse Scattering with Time-Periodic Potentials
Notes ""A Local Borg-Marchenko Theorem for Difference Equations with Complex Coefficients.""
Print version record
Subject Differential equations, Partial -- Congresses
Inverse problems (Differential equations) -- Congresses
Differential equations, Partial
Inverse problems (Differential equations)
Genre/Form Conference papers and proceedings
Form Electronic book
Author Manásevich, Raúl
Uhlmann, Gunther
ISBN 9780821879528
0821879529