A note on the instability of a focusing nonlinear damped wave equation |
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| Authors: | T Saanouni |
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| Institution: | University Tunis El Manar, Faculty of Sciences of Tunis, LR03ES04 partial differential equations and applications, 2092 Tunis, , Tunisia |
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| Abstract: | We investigate the initial value problem for a nonlinear damped wave equation in two space dimensions. We prove local well‐posedness and instability by blow‐up of the standing waves. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | Nonlinear wave equation Blow‐up Moser– Trudinger inequality |
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