ARTICLE
REASONABLE CONDITIONS FOR SOLVING NONLINEAR ELLIPTIC CAUCHY PROBLEMS
- International Journal of Numerical Methods and Applications , 25 (1) : 133-150
Lien de l'article :
https://doi.org/10.17654/0975045225006
Discipline :
Mathématiques
Auteur(s) :
I. Ly, T. Dabre and B. Bella
Auteur(s) tagués :
LY Ibrahim
Renseignée par : LY Ibrahim
Résumé
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.
Mots-clés
nonlinear PDE, Cauchy problem, elliptic operators