A Modified Test Function Method for Damped Wave Equations-Reference-Cited by-同舟云学术

A Modified Test Function Method for Damped Wave Equations

Published:2013-11-01 Issue:4 Volume:13 Page:867-892
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

D’Abbicco Marcello¹,Lucente Sandra¹

Affiliation:

1. Department of Mathematics University of Bari, Bari, Italy 70124

Abstract

Abstract In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solutions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2013-0407/pdf

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