Research Communication | Open Access
Volume 2019 | Communication ID 287
Volume 2019 | Communication ID 287
| Global existence for some quasilinear parabolic systems with data measures and arbitrary growth nonlinearities |
Idrissi Fatmi Nadia
Received |
Accepted |
Published |
Feb 14, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: The goal of this paper is to study existence or nonexistence of global weak solutions for some quasilinear parabolic systems with initial data measures and critical growth nonlinearity with respect to the gradient. The goal of this paper is to study existence or nonexistence of global weak solutions for some quasilinear parabolic systems with initial data measures and critical growth nonlinearity with respect to the gradient. Since the data are not regular and the growth of the nonlinearities are critical, the classical techniques based on the prior estimates of the solution and its ...