Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition
Year: 2023
Author: Abderachid Saadi
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 331–348
Abstract
We consider a class of free boundary problems with Neumann boundary conditions. We would like to give certain results with regularity of solutions (mainly the local interior and boundary Lipschitz continuity). We will also show an explicit form of solution under well-specified conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n4.1
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 331–348
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Lipschitz continuity free boundary Neumann boundary condition.