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Uniqueness of the bounded solution to a strongly degenerate parabolic problem

✍ Scribed by Qiang Liu; Chunpeng Wang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
242 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper concerns the uniqueness of the bounded solution to a strongly degenerate parabolic problem. The equation considered may have two kinds of strong degeneracies and there is no restriction on the relation between the two degeneracies. By using Holmgren's approach, we prove that the bounded solution of the associated initial-boundary value problem is unique under some essentially necessary condition on the growth of the convection.

πŸ“œ SIMILAR VOLUMES

Existence and uniqueness of bounded weak
Existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface
✍ Fengquan Li πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 103 KB πŸ‘ 1 views

## Abstract In this paper, we discuss the existence and uniqueness of bounded weak solution for non‐linear parabolic boundary value problem with equivalued surface and correct the mistake in Zhang Xu (__Math. Meth. Appl. Sci.__ 1999; **22**: 259). The approach is based on __L__^∞^ estimate of solut