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引用次数: 0
摘要
本文研究了具有临界指数的非经典扩散方程u_t -△_ut-△_u = f(u) + g(x)在强拓扑空间H~2(Ω) n H_0~1(Ω)中指数吸引子的存在性。特别地，在证明了指数吸引子的存在性之后，我们知道在强拓扑空间[7,12,14]中具有分形维数有限的全局吸引子。
Exponential Attractors in Strong Topology Space for a Nonclassical Diffusion Equation
In this article,we study the existence of exponential attractors in the strong topology space H~2(Ω) n H_0~1(Ω) for the nonclassical Diffusion Equation u_t — △_ut- △_u = f(u) + g(x) with critical exponent.In particular,after proving the existence of exponential attractors,we know that the global attractor in the strong topology space in[7,12,14]with finiteness of fractal dimension.
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