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Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant |
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| Authors: | Renjun Duan Changjiang Zhu |
| Institution: | a Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, PR China b LTCS, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, PR China c Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, PR China |
| Abstract: | In this paper, we consider an initial boundary value problem for some nonlinear evolution system with dissipation and ellipticity. We establish the global existence and furthermore obtain the Lp (p?2) decay rates of solutions corresponding to diffusion waves. The analysis is based on the energy method and pointwise estimates. |
| Keywords: | Nonlinear evolution system Decay rate Energy method Pointwise estimates A priori estimates |
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