Summability and existence results for nonlinear parabolic equations
β Scribed by Lucio Boccardo; Maria Michaela Porzio; Ana Primo
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 825 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The existence, uniqueness, and L Ο± estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation Ε½ . t with zero boundary condition in a bounded domain β ; R N are established. In particular, the behavior of the solution as t Βͺ 0 q and t Βͺ qΟ± is in
quasi-linear parabolic problems with monotone principal part. This result is applied to parabolic problems having the p-Laplacian as principal part and with non-Lipschitz perturbations.
In this paper two existence results concerning the global attractivity and global asymptotic attractivity for a certain functional nonlinear integral equation are proved. Our existence results include several existence as well as attractivity results obtained earlier by Banas and Dhage (2008) [1], H