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Authors: NABILA BARROUK, SALIM MESBAHI.
Received 11 March 2020; Accepted 13 April 2020. Published Online: 2023-06-14
Published Print: 2023-07-30
pp. 359-373
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In this paper, we study the global existence in time of solutions for a parabolic reaction diffusion model with a full matrix of diffusion coefficients on a bounded domain. The technique used is based on compact semigroup methods and some estimates. Our objective is to show, under appropriate hypotheses, that the proposed model has a global solution with a large choice of nonlinearities.
Mathematics Subject Classification (2010): 35K57, 37L05, 35K55, 35K40.
Keywords: Global existence, compact semigroups, reaction diffusion systems.
