Research Communication | Open Access
Volume 2019 | Communication ID 93
Volume 2019 | Communication ID 93
| Nonlinear parabolic equations with singular function with respect to the unknown |
Khaled Zaki, Hicham Redwane
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: We introduce a new notion of renormalized solution to nonlinear parabolic problems. We establish an existence result of a solution for the nonlinear parabolic problem with singular function with respect to the unknown in a bounded domain. The notion of renormalized solution was introduced by Lions and Di Perna for the study of Boltzmann equation.