On the global existence for a degenerate elliptic–parabolic seawater intrusion problem
✍ Scribed by Khalid Najib; Carole Rosier
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 349 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0378-4754
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📜 SIMILAR VOLUMES
We extend the refined maximum principle in [H. Berestycki, L. Nirenberg, S.R.S. Varadhan, The principal eigenvalue and the maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994) 47-92] to degenerate elliptic and parabolic equations with unbounded c
The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ž . Ž . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect
The proofs of Theorems 2 and 3 are very laborious and must be omitted. We merely mention that the proof of Theorem 2 is based on the definition of regular mapping, while the proof of Theorem 3 is based on Lemmas 6,7,17,18,and 19.