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

被引：0

作者：

Semerdjieva, Rossitza ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

OPEN MATHEMATICS | 2015年 / 13卷

关键词：

Free boundary problem; Parabolic equation; Mixed type boundary conditions; Nonlocal condition; Smoothness of the free boundary; INFINITE DIFFERENTIABILITY; MATHEMATICAL-MODEL; STEFAN PROBLEM; GROWTH; TUMORS;

D O I：

10.1515/math-2015-0026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：265 / 272

页数：8

共 50 条

[31] ON SOME GENERALIZED FREE BOUNDARY-VALUE PROBLEM FOR A SYSTEM OF ONE-DIMENSIONAL DIFFUSION-EQUATIONS
WOLSKABOCHENEK, J
VONWOLFERSDORF, L
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (11): : 541 - 545
[32] Problem with nonlocal condition on the free boundary
Zh. O. Takhirov
R. N. Turaev
Ukrainian Mathematical Journal, 2012, 64 : 78 - 88
[33] Problem with nonlocal condition on the free boundary
Takhirov, Zh O.
Turaev, R. N.
UKRAINIAN MATHEMATICAL JOURNAL, 2012, 64 (01) : 78 - 88
[34] Boundary Estimates for Solutions of the Parabolic Free Boundary Problem
D. E. Apushkinskaya
H. Shahgholian
N. N. Uraltseva
Journal of Mathematical Sciences, 2003, 115 (6) : 2720 - 2730
[35] A problem with free boundary for a two-dimensional parabolic equation
Ivanchov M.I.
Journal of Mathematical Sciences, 2012, 183 (1) : 17 - 28
[36] On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation
Danilkina, Olga
COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 271 - 287
[37] An one-dimensional two-phase free boundary problem in an angular domain
Yi, Fahuai
Han, Xiaoru
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (03) : 959 - 979
[38] One-dimensional free boundary problem for actin-based propulsion of Listeria
Bazaliy, Borys
Bazaliy, Yaroslaw
Friedman, Avner
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 84 - 100
[39] Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type
Nakane, K
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2001, 77 (07) : 103 - 107
[40] A FREE-BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS-GAS
WANG, JY
JIANG, J
LU, XR
CHINESE ANNALS OF MATHEMATICS SERIES B, 1993, 14 (04) : 411 - 418

← 1 2 3 4 5 →