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Title Evolution equations of hyperbolic and schrodinger type : asymptotics, estimates and nonlinearities / edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth
Published Basel ; London : Springer, 2012
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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.
Differential equations, Hyperbolic.
Schrödinger equation.
Mathematics.
Form Electronic book
Author Ruzhansky, M. (Michael)
Sugimoto, Mitsuru.
Wirth, Jens.
ISBN 3034804547 (electronic bk.)
9783034804547 (electronic bk.)