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A note on strong instability of standing waves for some semilinear wave and heat equations

Published online by Cambridge University Press:  09 March 2017

T. SAANOUNI
T. SAANOUNI*
Affiliation:
University of Tunis El Manar, Faculty of Science of Tunis, LR03ES04 partial differential Equations and applications, 2092 Tunis, Tunisia. e-mail: Tarek.saanouni@ipeiem.rnu.tn
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Abstract

The initial value problems for some semilinear wave and heat equations are investigated in two space dimensions. By proving the existence of ground state, strong instability of standing waves for the associated wave and heat equations are obtained.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 1 , July 2018 , pp. 53 - 68
Copyright
Copyright © Cambridge Philosophical Society 2017 

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