An isomorphism theorem for parabolic problems in Hörmander spaces and its applications
| Autor: | Valerii Los, Aleksandr A. Murach, Vladimir Mikhailets |
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| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Applied Mathematics 010102 general mathematics Mathematics::Analysis of PDEs Zero (complex analysis) Order (ring theory) Cauchy distribution General Medicine 01 natural sciences Slowly varying function 010101 applied mathematics Inner product space Isomorphism theorem 0101 mathematics Value (mathematics) Analysis Mathematics |
| Zdroj: | Communications on Pure & Applied Analysis. 16:69-98 |
| ISSN: | 1553-5258 |
| Popis: | We investigate a general parabolic initial-boundary value problem with zero Cauchy data in some anisotropic Hormander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hormander spaces. As an application of this result, we establish a theorem on the local increase in regularity of solutions to the problem. We also obtain new sufficient conditions under which the generalized derivatives, of a given order, of the solutions should be continuous. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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