New Trends in the Theory of Hyperbolic Equations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Reissig, Michael (Editor), Schulze, Bert-Wolfgang (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Series: Operator Theory: Advances and Applications, Advances in Partial Differential Equations ; 159
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Operator theory.; Partial differential equations.; Analysis.; Partial Differential Equations.; Operator Theory.; Functional Analysis.

The present volume is dedicated to modern topics of the theory of hyperbolic equations such as evolution equations, multiple characteristics, propagation phenomena, global existence, influence of nonlinearities. It is addressed to beginners as well as specialists in these fields. The contributions a...

Table of Contents:

• Wave Maps and Ill-posedness of their Cauchy Problem
• On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations
• Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains
• Global Existence in the Cauchy Problem for Nonlinear Wave Equations with Variable Speed of Propagation
• On the Nonlinear Cauchy Problem
• Sharp Energy Estimates for a Class of Weakly Hyperbolic Operators.