Premium
Some overdetermined parabolic problems
Author(s) -
Philippin G. A.,
Safoui A.
Publication year - 1999
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19990710)22:10<791::aid-mma57>3.0.co;2-n
Subject(s) - overdetermined system , mathematics , symmetry in biology , boundary value problem , mathematical analysis , boundary (topology) , symmetry (geometry) , type (biology) , geometry , ecology , biology
In this paper we investigate two classes of overdetermined initial and boundary value problems of parabolic type. Under appropriate assumptions we conclude that the solutions u ( x , t ) of the considered problems must be radially symmetric, which implies radial symmetry of the boundary configuration. Copyright © 1999 John Wiley & Sons, Ltd.