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On global existence of solutions to a cross-diffusion system |
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| Authors: | Phan Van Tuoc |
| Affiliation: | School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455, USA |
| Abstract: | We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in n-dimensional domains (n?1). We prove the global existence of classical solutions to the system for n<10. |
| Keywords: | Gradient estimates A priori estimates Global existence Cross-diffusion Self-diffusion Nonlinear parabolic systems Population dynamics |
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