In this paper we give, for the first time, an abstract interpretation of such initial boundary value problems for parabolic equations that a part of boundary value conditions contains also a differentiation on the time t. Initial boundary value problems for parabolic equations are reduced to the Cau
A Boundary Value Problem for Operator Equations in Hilbert Spaces
โ Scribed by G.L. Karakostas; P.K. Palamides
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 69 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
Nemytskii-type differential equation in a Hilbert space X satisfying a relationship of the form x 1 = G x 0 is investigated. Here G is a prespecified operator defined on X.
๐ SIMILAR VOLUMES
Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem almost everywhere in โu/โ + ฯ x u = ฯ x in the trace sense on โ in the case when the vector field x has a contact of infinite order with โ at the points of some non-empty subset E โ โ .
## Abstract We study the wellโposedness of the halfโDirichlet and Poisson problems for Dirac operators in threeโdimensional Lipschitz domains, with a special emphasis on optimal Lebesgue and SobolevโBesov estimates. As an application, an elliptization procedure for the Maxwell system is devised. Co
## Abstract We present a mathematical model for transport current carrying superconductors in terms of a boundary value problem for the Laplace equation. A uniqueness and existence result is given via a boundary integral equation method in a Hรถlder space setting. It's numerical solution is describe