Article ID Journal Published Year Pages File Type
10427016 Nonlinear Analysis: Theory, Methods & Applications 2005 17 Pages PDF
Abstract
In this paper, we prove the existence of global attractors for a nonlinear reaction-diffusion equation with a nonlinearity having a polynomial growth of arbitrary order p-1(p⩾2), and with distribution derivatives in the inhomogeneous term. The global attractors are obtained in L2(Rn) and Lp(Rn), respectively. A new a priori estimate method has been used. Since the solutions of the equation have no higher regularity and the semigroup associated with the solutions is not continuous in Lp(Rn), the results are new and appear to be optimal.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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