A kernel-based method for parabolic equations with nonlinear convection terms
β Scribed by James F. Epperson
- Book ID
- 107988902
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 785 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove the existence of a solution for a monotonically increasing and Lipschitz continuous nonlinearity. The approximation method is based on Rothe's method. The solution on each time step is obtained by iterations, conve
We prove approximation and compactness results in inhomogeneous Orlicz-Sobolev spaces and look at, as an application, the Cauchy-Dirichlet equation u +A(u)+g(x, t, u, βu)=f β W -1,x E M , where A is a Leray-Lions operator having a growth not necessarily of polynomial type. We also give a trace resul