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Volume 36, Issue 4
Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition

Abderachid Saadi

DOI: 10.4208/jpde.v36.n4.1

J. Part. Diff. Eq., 36 (2023), pp. 331-348.

Published online: 2023-11

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  • 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.

  • Keywords

Lipschitz continuity, free boundary, Neumann boundary condition.

  • AMS Subject Headings

35J15, 35R35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-36-331, author = {Saadi , Abderachid}, title = {Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition}, journal = {Journal of Partial Differential Equations}, year = {2023}, volume = {36}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n4.1}, url = {http://global-sci.org/intro/article_detail/jpde/22132.html} }
TY - JOUR T1 - Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition AU - Saadi , Abderachid JO - Journal of Partial Differential Equations VL - 4 SP - 331 EP - 348 PY - 2023 DA - 2023/11 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n4.1 UR - https://global-sci.org/intro/article_detail/jpde/22132.html KW - Lipschitz continuity, free boundary, Neumann boundary condition. AB -

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.

Abderachid Saadi. (2023). Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition. Journal of Partial Differential Equations. 36 (4). 331-348. doi:10.4208/jpde.v36.n4.1
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