Global solutions for a nonlinear wave equation with the p-laplacian operator
We study the existence and asymptotic behavior of the global solutions of the nonlinear equation $$u_tt-\Delta_p u+(-\Delta)^\alpha u_t+g(u)=f$$ where $0<\alpha\leq 1$ and $g$ does not satisfy the sign condition $g(u)u \geq 0$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
1999-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=24 |