Existence and uniqueness of solutions of degenerate parabolic equations in exterior domains
β Scribed by Jeffrey R. Anderson; Ning Su; Hongfei Zhang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 138 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the degenerate parabolic equation u q Ω ΠΈ f s Ω ΠΈ QΩu q g, where t Ε½ . ## N q x,t gβ«ήβ¬ β«ή=β¬ , the flux f, the viscosity coefficient Q, and the source term g Ε½ . depend on x, t, u and Q is nonnegative definite. Due to the possible degeneracy, weak solutions are considered. In general, the
## Communicated by H. J. Stetter Abstract-we describe a numerical method to verify the existence and local uniqueness of solutions of semilinear parabolic equations. We present a detailed description of the verification procedure and determine error bounds for its computation. Several examples are