The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions |
| |
Authors: | Weike Wang |
| |
Affiliation: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China |
| |
Abstract: | In this paper, we study the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the dissipative wave equation in multi-dimensions. Using the fixed point theorem, we obtain the global existence of the solution. In addition, the pointwise estimates of the solution are obtained by the method of the Green function. Furthermore, we obtain the Lp, 1?p?∞, convergence rate of the solution. |
| |
Keywords: | Dissipative wave equation Global-in-time existence Pointwise estimates Green function |
本文献已被 ScienceDirect 等数据库收录! |
|