Pullback attractors for non-autonomous reaction-diffusion equations in Lp
نویسندگان
چکیده
We study the long time behavior of solutions of the non-autonomous Reaction-Diffusion equation defined on the entire space Rn when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L(R) and H(R), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 207 شماره
صفحات -
تاریخ انتشار 2009