Open AccessSome results on the existence of weak periodic solutions for quasilinear parabolic systems with L1 data
Author(s) -
Abderrahim Charkaoui,
Ghada Kouadri,
Nour Eddine Alaa
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.45134
Subject(s) - fixed point theorem , schauder fixed point theorem , mathematics , nonlinear system , reaction–diffusion system , mathematical analysis , fixed point , diffusion , pure mathematics , physics , picard–lindelöf theorem , thermodynamics , quantum mechanics
The aim of this paper is to prove the existence of weak periodic solution and super solution for M×M reaction diffusion system with L1 data and nonlinearity on the gradient. The existence is proved by the technique of sub and super solution and Schauder fixed point theorem.