| Description |
1 online resource |
| Series |
Progress in mathematics ; 301 |
|
Progress in mathematics (Boston, Mass.) ; 301
|
| Contents |
Divergence-type Operators: Spectral Theory and Spacetime Estimates / Matania Ben-Artzi -- Kinetic Models of Chemotaxis / Nikolaos Bournaveas and Vincent Calvez -- Modulus of Continuity and Decay at Infinity in Evolution Equations with Real Characteristics / Massimo Cicognani and Ferruccio Colombini -- Time-Frequency Analysis of Schrödinger Propagators / Elena Cordero, Fabio Nicola and Luigi Rodino -- Geometric Regularization on Riemannian and Lorentzian Manifolds / Shantanu Dave, Günther Hörmann and Michael Kunzinger -- A Remark on the Uniqueness for Backward Parabolic Operators with non-Lipschitz-continuous Coefficients / Daniele Del Santo -- Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D / Vladimir Georgiev and Mirko Tarulli -- Decay Estimates for the Supercritical 3-D Schrödinger Equation with Rapidly Decreasing Potential / Vladimir Georgiev and Bozhidar Velichkov -- Wave Equations on Non-smooth Space-times / Günther Hörmann, Michael Kunzinger and Roland Steinbauer -- Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity / Hideo Kubo -- Representation Formula of the Resolvent for Wave Equation with a Potential Outside the Convex Obstacle / Tokio Matsuyama -- On the Scattering on a Loop-shaped Graph / K. Mochizuki and I. Yu. Trooshin -- On the Cauchy Problem for Hyperbolic Operators with Double Characteristics / Cesare Parenti and Alberto Parmeggiani -- Modulation Spaces and Nonlinear Evolution Equations / Michael Ruzhansky, Mitsuru Sugimoto and Baoxiang Wang -- An Optimal Control Problem for a Nonlinear Hyperbolic Equation with an Infinite Time Horizon / Simon Serovajsky and Kanat Shakenov -- Local in Space Energy Estimates for Second-order Hyperbolic Equations / Sergio Spagnolo and Giovanni Taglialatela -- The Final Problem on the Optimality of the General Theory for Nonlinear Wave Equations / Hiroyuki Takamura and Kyouhei Wakasa |
| Summary |
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and allows researchers as well as students to grasp new aspects and broaden their understanding of the area |
| Notes |
Print version record |
| Subject |
Evolution equations.
|
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Differential equations, Hyperbolic.
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Schrödinger equation.
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Mathematics.
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Mathematics
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MATHEMATICS -- Differential Equations -- Partial.
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Ecuaciones de evolución
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Ecuaciones diferenciales hiperbólicas
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Schrödinger, Ecuación de
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Mathematics
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Differential equations, Hyperbolic
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Evolution equations
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Schrödinger equation
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| Form |
Electronic book
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| Author |
Ruzhansky, M. (Michael)
|
|
Sugimoto, Mitsuru
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|
Wirth, Jens
|
| ISBN |
9783034804547 |
|
3034804547 |
|
