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Boundary point lemmas and overdetermined problems

โœ Scribed by Antonio Greco


Book ID
108345204
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
123 KB
Volume
278
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


Duality theorems in some overdetermined
โœ L. E. Payne; Philip W. Schaefer ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 558 KB

We consider several elliptic boundary value problems for which there is an overspecification ofdata on the boundary of the domain. After reformulating the problems in an equivalent integral form, we use the alternate integral formulation to deduce that if a solution exists. then the domain must be a

Some overdetermined parabolic problems
โœ G. A. Philippin; A. Safoui ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 90 KB

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 con"guration.