【摘要】 通过新的结构,证明一类带记忆项的非线性演化方程在空间H01(Ω)×H01(Ω)×L2(R+;H01(Ω))中存在全局吸引子,其中非线性项满足临界增长指数条件,记忆项满足指数衰减条件.更多还原

【Abstract】 In this paper,using a new framework,we establish the existence of global attractors for a class of nonlinear evolution equation with memory type in H01(Ω)×H01(Ω)×L2(R+;H01(Ω)),where the nonhnear term satisfies a critical growth exponential condition and the memory term satisfies the condition of the exponential decay.更多还原