The Cauchy Problem for Parabolic Equations with Degeneration
Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points. Conditions for the existence and uni...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/1245143 |
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| _version_ | 1849304900016537600 |
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| author | Ivan Pukal’skii Bohdan Yashan |
| author_facet | Ivan Pukal’skii Bohdan Yashan |
| author_sort | Ivan Pukal’skii |
| collection | DOAJ |
| description | Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points. Conditions for the existence and uniqueness of the solution of the problem in Hölder spaces with power weight are found. |
| format | Article |
| id | doaj-art-40682d36acae451b9f2f94986e3a95f2 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-40682d36acae451b9f2f94986e3a95f22025-08-20T03:55:36ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/12451431245143The Cauchy Problem for Parabolic Equations with DegenerationIvan Pukal’skii0Bohdan Yashan1Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, 28 Universitetska St., Chernivtsi, 58012, UkraineDepartment of Differential Equations, Yuriy Fedkovych Chernivtsi National University, 28 Universitetska St., Chernivtsi, 58012, UkraineAnnotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points. Conditions for the existence and uniqueness of the solution of the problem in Hölder spaces with power weight are found.http://dx.doi.org/10.1155/2020/1245143 |
| spellingShingle | Ivan Pukal’skii Bohdan Yashan The Cauchy Problem for Parabolic Equations with Degeneration Advances in Mathematical Physics |
| title | The Cauchy Problem for Parabolic Equations with Degeneration |
| title_full | The Cauchy Problem for Parabolic Equations with Degeneration |
| title_fullStr | The Cauchy Problem for Parabolic Equations with Degeneration |
| title_full_unstemmed | The Cauchy Problem for Parabolic Equations with Degeneration |
| title_short | The Cauchy Problem for Parabolic Equations with Degeneration |
| title_sort | cauchy problem for parabolic equations with degeneration |
| url | http://dx.doi.org/10.1155/2020/1245143 |
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