Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping-Reference-Cited by-同舟云学术

Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping

Published:2009-12 Issue:12 Volume:71 Page:e560-e575
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Bociu Lorena

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. A trace theorem for solutions of the wave equation and the remote determination of acoustic sources;Symes;Mathematics and Applied Science,1983

2. Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary;Lasiecka;Journal of Mathematical Analysis and Applications,1989

3. Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II;Lasiecka;Journal of Differential Equations,1991

4. Sharp regularity for mixed second order hyperbolic equations of Neumann type Part I: The L2-boundary case;Lasiecka;Annali di Matematica Pura Applicata, Series (IV),1990

5. On the regularity of boundary traces for the wave equation;Tataru;Annali di Scuola Normale,1998

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