Global solutions for a nonlinear wave equation with the p-laplacian operator
oleh: Hongjun Gao, To Fu Ma
| Format: | Article |
|---|---|
| Diterbitkan: | University of Szeged 1999-01-01 |
Deskripsi
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 $g(u)u \geq 0$.