通过使用一种新的方法,证明了一类非线性粘弹性发展方程在D(A)×D(A)D(A)=H2(Ω)∩H10((Ω))上的全局吸引子,其中非线性项满足临界指数增长条件,积分项满足指数衰减条件。
In this paper,using a new method(or technology),we prove the existence of the global attractorΛfor a class of nonlinear evolution equations with memory type in D(A)×D(A)(D(A)=H2(Ω)∩H10(Ω)),where the nonlinear term satisfies a critical growth exponential condition and the memory term satisfies the condition of the exponential decay.