Open AccessExistence of solutions for quasilinear problem with Neumann boundary conditions
Author(s) -
Samira Lecheheb,
Hakim Lakhal,
Messaoud Maouni
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.46956
Subject(s) - compact space , mathematics , neumann boundary condition , boundary (topology) , heat equation , mathematical analysis , boundary value problem , partial differential equation
My abstract is:This paper is devoted to the study of the existence of weak solutionsfor quasilinear systems of a partial dierential equations which are the combinationof the Perona-Malik equation and the Heat equation. The proof of the main resultsare based on the compactness method and the motonocity arguments.