Description 
1 online resource 
Series 
Progress in mathematics ; 301 

Progress in mathematics (Boston, Mass.) ; 301

Contents 
Divergencetype Operators: Spectral Theory and Spacetime Estimates / Matania BenArtzi  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  TimeFrequency 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 nonLipschitzcontinuous 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 3D Schrödinger Equation with Rapidly Decreasing Potential / Vladimir Georgiev and Bozhidar Velichkov  Wave Equations on Nonsmooth Spacetimes / 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 Loopshaped 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 Secondorder 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 pevolution 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.) 
