摘要
在给定的Sobolve空间中,利用Galerkin方法证明了一类带记忆项的非线性演化方程整体弱解的存在性.其中非线性项具有临界增长指数,记忆项满足指数衰减条件.
The existence of integral weak solutions for a class of nonlinear evolution equation with memory term in given Sobolve space is proved with Galerkin method.The nonlinear term in the equation have a critical growth exponent and the memory term satisfies the condition of exponent decay.
出处
《兰州理工大学学报》
CAS
北大核心
2017年第3期163-166,共4页
Journal of Lanzhou University of Technology
基金
山西省青年科技研究基金(2015021009)
关键词
非线性演化方程
记忆项
整体弱解
nonlinear evolution equation
memory term
integral weak solution
