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A One-Dimensional Parabolic Problem Arising in Studies of Some Free Boundary Problems.
- Source :
-
Journal of Mathematical Sciences . May2003, Vol. 115 Issue 1, p2066-2075. 10p. - Publication Year :
- 2003
-
Abstract
- The paper is concerned with a one-dimensional parabolic problem in a domain bounded by two lines x = 0 and x = kt, k > 0, (x, t) ∈ <MATH>\Bbb R^2</MATH>, with the Neumann boundary condition on the line x = 0 and with dynamic boundary condition on the line x = kt. For the solution of this problem, a coercive estimate in a weighted Hölder norm is obtained. It is shown that this estimate can be useful for the analysis of parabolic free boundary problems. Bibliography: 7 titles. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 115
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 16567070
- Full Text :
- https://doi.org/10.1023/A:1022616300191