Journal of Nonlinear Mathematical Physics

Volume 11, Issue 4, November 2004, Pages 534 - 548

Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients

Authors
Michael Reissig
Corresponding Author
Michael Reissig
Available Online 1 November 2004.
DOI
10.2991/jnmp.2004.11.4.9How to use a DOI?
Abstract

The goal of this survey article is to explain the up-to-date state of the theory of Lp - Lq decay estimates for wave equations with time-dependent coefficients. We explain the influence of oscillations in the coefficients by using a precise classification. Moreover, we will see how mass and dissipation terms take influence on the Lp - Lq decay estimates.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 4
Pages
534 - 548
Publication Date
2004/11/01
ISBN
91-974824-1-2
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.4.9How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Michael Reissig
PY  - 2004
DA  - 2004/11/01
TI  - Lp - Lq Decay Estimates for Wave Equations with Time-Dependent Coefficients
JO  - Journal of Nonlinear Mathematical Physics
SP  - 534
EP  - 548
VL  - 11
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.4.9
DO  - 10.2991/jnmp.2004.11.4.9
ID  - Reissig2004
ER  -