Boundary point lemmas and overdetermined problems
โ 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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๐ SIMILAR VOLUMES
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
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.