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Autori: NABILA BARROUK, KARIMA ABDELMALEK, MOUNIR REDJOUH.
Received 13 November 2021; Accepted 10 April 2022.
pp. 367-381
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In this paper we study the existence of uniqueness global weak solutions for m×m𝑚×𝑚 reaction-diffusion systems for which two main properties hold: the positivity of the weak solutions and the total mass of the components are preserved with time. Moreover we suppose that the non-linearities have critical growth with respect to the gradient. The technique we use here in order to prove global existence is in the same spirit of the method developed by Boccardo, Murat, and Puel for a single equation.
Mathematics Subject Classification (2010): 35K57, 35K40, 35K55.
Keywords: Semigroups, local weak solution, global weak solution, reaction-diffusion systems, invariant regions, matrice of diffusion.
