Null controllability of some nonlinear degenerate 1D parabolic equations |
| |
| Authors: | MM Cavalcanti E Fernández-Cara AL Ferreira |
| |
| Institution: | 1. Department of Mathematics, State University of Maringá, Maringá 87020-900, PR, Brazil;2. Departamento de Ecuaciones Diferenciales y Análisis Numérico, University of Seville, Aptdo. 1160, Sevilla 41080, Spain;3. Department of Mathematics, State University of Londrina, Londrina 86.057-970, PR, Brazil |
| |
| Abstract: | The main goal of the present paper is twofold: (i) to establish the well-posedness of a class of nonlinear degenerate parabolic equations and (ii) to investigate the related null controllability and decay rate properties. In a previous step, we consider an appropriate regularized system, where a small parameter α is involved. More precisely, the usual nonlinear term b(x)uux is replaced by b(x)zux, where and A is a Poisson–Dirichlet operator. We investigate the behavior of the null controls and their associated states as α → 0. |
| |
| Keywords: | Corresponding author |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
