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Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
Authors:Renjun Duan
Affiliation:Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, PR China
Abstract:In this paper, we consider the global existence and asymptotic behaviors of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:
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Keywords:Evolution equations   Diffusion waves   Decay rate   Energy method   A priori estimates
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