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摘要
We study the global existence and uniqueness of a solution to an initial boundary value problem for the nonlinear wave equation with the p-Laplacian operator u(tt)-div (vertical bar del u vertical bar(p-2)del u)-Delta u(t) + g(x, u) = f(x). Further, the asymptotic behavior of solution is established. The nonlinear term g likes g(x, u) = a(x)vertical bar u|(alpha-1)u - b(x)vertical bar u vertical bar(beta-1)u with appropriate functions a(x) and b(x), where alpha > beta >= 1.
- 出版日期2010
- 单位河海大学
