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Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions
Department of Mathematics, Earlham College, Richmond, IN, USA
Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL, USA
- 1 Department of Mathematics, Earlham College, Richmond, IN, USA
- 2 Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL, USA
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Abstract
We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.
KeywordsActivator-Inhibitor SystemGierer-Meinhardt SystemRobin and Neumann Boundary ConditionsGlobal Existence
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