Global Solutions to Some Quasilinear Parabolic Systems in Population Dynamics

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Abstract

In this present paper, using the duality technique and the Hölder's inequality, we study the global existence of the solutions to some quasilinear parabolic systems with the cross-diffusion effects in population dynamics.

Keywords:

Quasilinear parabolic systems: population dynamics;cross-diffusion;global solutions
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Global Solutions to Some Quasilinear Parabolic Systems in Population Dynamics. (1999). Journal of Partial Differential Equations, 12(3), 193-200. https://www.global-sci.com/index.php/jpde/article/view/3911