本文選題：有限時間爆破 + 存在性問題��； 參考：《數(shù)學(xué)進展》2017年02期

【摘要】：本文致力于帶雙調(diào)和記憶項的四階非線性偽拋物方程初邊值問題的研究.通過應(yīng)用伽遼金方法、勢井理論和相關(guān)估計,推導(dǎo)出了整體弱解的存在性.此外,通過應(yīng)用凹性方法、勢井理論和不穩(wěn)定集的定義,不僅得到了具有非正初始能量(E(0)≤0)的弱解在有限時間爆破的結(jié)果,而且得到了具有正初始能量(0E(0)d_θ)的弱解在有限時間爆破的結(jié)果.
[Abstract]:This paper is devoted to the study of the initial and boundary value problems for fourth order nonlinear pseudoparabolic equations with biharmonic memory terms. By applying Galerkin method, potential well theory and correlation estimation, the existence of global weak solution is derived. In addition, by applying the concave method, the potential well theory and the definition of the unstable set, we not only obtain the results of the weak solution with non-positive initial energy (E (0) 鈮，

本文編號：2116308