On the existence of solutions to a class of boundary value problems in a strip for high-order degenerate elliptic equations
| Autor: | V. V. Pankov, A. D. Baev |
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| Rok vydání: | 2017 |
| Předmět: |
Class (set theory)
General Mathematics 010102 general mathematics Degenerate energy levels Mathematical analysis Boundary (topology) Integral transform 01 natural sciences 010305 fluids & plasmas 0103 physical sciences A priori and a posteriori Uniqueness Boundary value problem 0101 mathematics High order Mathematics |
| Zdroj: | Doklady Mathematics. 96:365-367 |
| ISSN: | 1531-8362 1064-5624 |
| DOI: | 10.1134/s1064562417040214 |
| Popis: | Problems in a strip for high-order elliptic equations that degenerate into an odd-order equation on the strip boundary are studied. Coercive a priori estimates and existence and uniqueness theorems for solutions of such problems are obtained in special weighted Sobolev-type spaces. The norms in these spaces are defined with the help of a special integral transform. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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