Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces
Date
2022-12-21
Authors
Gallego, Francisco Ortegon
Ouyahya, Hakima
Rhoudaf, Mohamed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study the existence of a capacity solution for a nonlinear elliptic coupled system in anisotropic Orlicz-Sobolev spaces. The unknowns are the temperature inside a semiconductor material, and the electric potential. This system may be considered as a generalization of the steady-state thermistor problem. The numerical solution is also analyzed by means of the least squares method in combination with a conjugate gradient technique.
Description
Keywords
Nonlinear elliptic equations, Capacity solution, Least squares method, Anisotropic Orlicz-Sobolev spaces, Conjugate gradient algorithm
Citation
Ortegón Gallego, F., Ouyahya, H., & Rhoudaf, M. (2022). Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces. <i>Electronic Journal of Differential Equations, 2022</i>(84), pp. 1-32.
Rights
Attribution 4.0 International