Evolution Equations of Hyperbolic and Schrödinger Type
Asymptotics, Estimates and Nonlinearities
1st Edition
Published on 4. August 2012
VIII, 328 pages
978-3-0348-0454-7 (ISBN)
Description
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, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area.
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Additional editions
Michael Ruzhansky | Mitsuru Sugimoto | Jens Wirth
Evolution Equations of Hyperbolic and Schrödinger Type
Asymptotics, Estimates and Nonlinearities
Book
09/2014
Birkhäuser
€53.49
Shipment within 10-15 days
Michael Ruzhansky | Mitsuru Sugimoto | Jens Wirth
Evolution Equations of Hyperbolic and Schrödinger Type
Asymptotics, Estimates and Nonlinearities
Book
08/2012
1st Edition
Birkhäuser
€53.49
Shipment within 10-15 days
Content
- Intro
- Evolution Equations of Hyperbolic and Schrödinger Type
- Asymptotics, Estimates and Nonlinearities
- Contents
- Preface
- Divergence-type Operators: Spectral Theory and Spacetime Estimates
- Kinetic Models of Chemotaxis
- Modulus of Continuity and Decay at Infinity in Evolution Equations with Real Characteristics
- Time-Frequency Analysis of Schrödinger Propagators
- Geometric Regularization on Riemannian and Lorentzian Manifolds
- A Remark on the Uniqueness for Backward Parabolic Operators with non-Lipschitz-continuous Coefficients
- Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D
- Decay Estimates for the Supercritical 3-D Schrödinger Equation with Rapidly Decreasing Potential
- Wave Equations on Non-smooth Space-times
- Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity
- Representation Formula of the Resolvent for Wave Equation with a Potential Outside the Convex Obstacle
- On the Scattering on a Loop-shaped Graph
- On the Cauchy Problem for Hyperbolic Operators with Double Characteristics
- Modulation Spaces and Nonlinear Evolution Equations
- An Optimal Control Problem for a Nonlinear Hyperbolic Equation with an Infinite Time Horizon
- Local in Space Energy Estimates for Second-order Hyperbolic Equations
- The Final Problem on the Optimality of the General Theory for Nonlinear Wave Equations
