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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Issue no. 2 / 2024 | |||||||
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INVARIANT REGIONS AND GLOBAL EXISTENCE OF UNIQUENESS WEAK SOLUTIONS FOR TRIDIAGONAL REACTION-DIFFUSION SYSTEMS. Authors: NABILA BARROUK, KARIMA ABDELMALEK, MOUNIR REDJOUH. |
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Abstract: DOI: 10.24193/subbmath.2024.2.08 Received 13 November 2021; Accepted 10 April 2022. pp. 367-381 VIEW PDF FULL PDF 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. |
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