On potential wells and vacuum isolating of solutions for semilinear wave equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:192

Article

Liu, YC

关键词: potential wells;    semilinear wave equations;    global solutions;    existence;    vacuum isolating;   

DOI  :  10.1016/S0022-0396(02)00020-7

来源: Elsevier

【 摘 要 】

In this paper, we study the initial boundary value problem of semilinear wave equations: u(u) - Deltau = \u\(p-1)u, xis an element ofOmega, t > 0, u(x,0) = u(0)(x), u(t)(x,0) = u(1)(x), xis an element ofOmega, u(x,t) = 0, xis an element ofpartial derivativeOmega, tgreater than or equal to0, where Omegasubset ofR(N) is a bounded domain, 1

【 授权许可】

Free