Convergence to diffusion waves for nonlinear evolution equations with different end states |
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Authors: | Walter Allegretto |
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Institution: | Department of Mathematics and Statistics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada |
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Abstract: | In this paper, we consider the global existence and the asymptotic decay 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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