On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem-Reference-Cited by-同舟云学术

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On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Published:2015-04-01 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Semerdjieva Rossitza¹

Affiliation:

1. 1Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, Bulgaria

Abstract

AbstractWe consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0026/pdf

Reference11 articles.

1. On the infinite differentiability of the free boundary in a Stefan problem;Cannon;Math Anal Appl,1968

2. Existence and differentiability of the solution of the two - phase Stefan problem for quasilinear parabolic equations Chinese;Chiang Li;Math Acta,1965

3. A two phase Stefan problem : regularity of the free boundary;Cannon;Mat Pure Appl,1971

4. Analysis of a mathematical model for the growth of tumors;Friedman;Math Biol,1999

5. On the foundations of cancer modelling : selected topics speculations and perspectives Models no;Bellomo;Math Methods Appl Sci,2008

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