| Optimal Conditions on Generalized Solutions of Coupled Nonlinear Diffusion Systems |
| Received:April 23, 2009 Revised:May 18, 2009 |
| Key Words:
nonlinear diffusion equations generalized solution classical solution.
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| Fund Project:the National Natural Science Foundation of China (Nos.10471013; 10771024). |
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| Abstract: |
| This paper studies coupled nonlinear diffusion equations with more general nonlinearities, subject to homogeneous Neumann boundary conditions. The necessary and sufficient conditions are obtained for the existence of generalized solutions of the system, which extend the known results for nonlinear diffusion systems with more special nonlinearities. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.06.003 |
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