This paper deals with the existence and nonexistence of global positive solutions of the doubly nonlinear parabolic equation with nonlinear boundary conditions. Necessary and sufficient conditions in order that all positive solutions exist globally are obtained by using the upper and lower solutions
Strong full bounded solutions of nonlinear parabolic equations with nonlinear boundary conditions
β Scribed by N. Mavinga; M.N. Nkashama
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 359 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Recently much work has been devoted to periodic-parabolic equations with linear homogeneous boundary conditions. However, very little has been accomplished in the literature for periodic-parabolic problems with nonlinear boundary conditions. It is the purpose of this paper to prove existence and reg
This paper is concerned with the existence and stability of periodic solutions for a coupled system of nonlinear parabolic equations under nonlinear boundary conditions. The approach to the problem is by the method of upper and lower solutions and its associated monotone iterations. This method lead