REASONABLE CONDITIONS FOR SOLVING NONLINEAR ELLIPTIC CAUCHY PROBLEMS
In this paper, we discuss a Cauchy problem for a class of nonlinear elliptic equations with data on a piece of the boundary surface. To this end, we construct a Dirichlet to Neumann operator, and provide reasonable necessary and sufficient conditions for the solvability of the problem.
Authors
- Ibrahim Ly
- Beatrice Di Bella (ORCID: https://orcid.org/0000-0002-1997-4126)
- T. Dabre
Publication Details
- Journal
- International Journal of Numerical Methods and Applications
- Published
- 2025-01-16
- DOI
- https://doi.org/10.17654/0975045225006
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00