Skip to main content

Research Repository

Advanced Search

Infinite energy solutions for critical wave equation with fractional damping in unbounded domains

Savostianov, Anton

Infinite energy solutions for critical wave equation with fractional damping in unbounded domains Thumbnail


Authors

Anton Savostianov



Abstract

This work is devoted to infinite-energy solutions of semi-linear wave equations in unbounded smooth domains of R3 with fractional damping of the form View the MathML source. The work extends previously known results for bounded domains in finite energy case. Furthermore, well-posedness and existence of locally-compact smooth attractors for the critical quintic non-linearity are obtained under less restrictive assumptions on non-linearity, relaxing some artificial technical conditions used before. This is achieved by virtue of new type Lyapunov functional that allows to establish extra space–time regularity of solutions of Strichartz type

Citation

Savostianov, A. (2016). Infinite energy solutions for critical wave equation with fractional damping in unbounded domains. Nonlinear Analysis: Theory, Methods and Applications, 136, 136-167. https://doi.org/10.1016/j.na.2016.02.016

Journal Article Type Article
Acceptance Date Feb 16, 2016
Online Publication Date Mar 8, 2016
Publication Date May 1, 2016
Deposit Date Apr 25, 2017
Publicly Available Date May 4, 2017
Journal Nonlinear Analysis: Theory, Methods and Applications
Print ISSN 0362-546X
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 136
Pages 136-167
DOI https://doi.org/10.1016/j.na.2016.02.016
Public URL https://durham-repository.worktribe.com/output/1380712
Related Public URLs https://arxiv.org/abs/1511.04592

Files





You might also like



Downloadable Citations