Nonlinear parabolic-elliptic system in Musielak-Orlicz-Sobolev spaces
| dc.contributor.author | Gallego, Francisco Ortegon | |
| dc.contributor.author | Rhoudaf, Mohamed | |
| dc.contributor.author | Sabiki, Hajar | |
| dc.date.accessioned | 2022-02-14T17:45:26Z | |
| dc.date.available | 2022-02-14T17:45:26Z | |
| dc.date.issued | 2018-06-15 | |
| dc.description.abstract | The existence of a capacity solution to the thermistor problem in the context of inhomogeneous Musielak-Orlicz-Sobolev spaces is analyzed. This is a coupled parabolic-elliptic system of nonlinear PDEs whose unknowns are the temperature inside a semiconductor material, u, and the electric potential, ϕ. We study the general case where the nonlinear elliptic operator in the parabolic equation is of the form Au = -div α(x, t, u, ∇u), A being a Leray-Lions operator defined on W1,x0 LM(QT), where M is a generalized N-function. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 37 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gallego, F. O., Rhoudaf, M., & Sabiki, H. (2018). Nonlinear parabolic-elliptic system in Musielak-Orlicz-Sobolev spaces. <i>Electronic Journal of Differential Equations, 2018</i>(121), pp. 1-36. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15321 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Parabolic-elliptic system | |
| dc.subject | Musielak-Orlicz-Sobolev spaces | |
| dc.subject | Weak solutions | |
| dc.subject | Capacity solutions | |
| dc.title | Nonlinear parabolic-elliptic system in Musielak-Orlicz-Sobolev spaces | |
| dc.type | Article |