The nonlocal Stefan problem for quasilinear parabolic equation
In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder's type are established. On the base of apriory estimations the existence and uniqueness theorems are proved
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2012-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1010 |
| _version_ | 1818039005628858368 |
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| author | J. O. Takhirov R. N. Turaev |
| author_facet | J. O. Takhirov R. N. Turaev |
| author_sort | J. O. Takhirov |
| collection | DOAJ |
| description | In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder's type are established. On the base of apriory estimations the existence and uniqueness theorems are proved |
| first_indexed | 2024-12-10T07:51:45Z |
| format | Article |
| id | doaj.art-3b525798a46f40e09e366352b6730fe7 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T07:51:45Z |
| publishDate | 2012-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-3b525798a46f40e09e366352b6730fe72022-12-22T01:57:00ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-013(28)81610.14498/vsgtu1010The nonlocal Stefan problem for quasilinear parabolic equationJ. O. TakhirovR. N. TuraevIn this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder's type are established. On the base of apriory estimations the existence and uniqueness theorems are provedhttp://mi.mathnet.ru/eng/vsgtu1010 |
| spellingShingle | J. O. Takhirov R. N. Turaev The nonlocal Stefan problem for quasilinear parabolic equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | The nonlocal Stefan problem for quasilinear parabolic equation |
| title_full | The nonlocal Stefan problem for quasilinear parabolic equation |
| title_fullStr | The nonlocal Stefan problem for quasilinear parabolic equation |
| title_full_unstemmed | The nonlocal Stefan problem for quasilinear parabolic equation |
| title_short | The nonlocal Stefan problem for quasilinear parabolic equation |
| title_sort | nonlocal stefan problem for quasilinear parabolic equation |
| url | http://mi.mathnet.ru/eng/vsgtu1010 |
| work_keys_str_mv | AT jotakhirov thenonlocalstefanproblemforquasilinearparabolicequation AT rnturaev thenonlocalstefanproblemforquasilinearparabolicequation AT jotakhirov nonlocalstefanproblemforquasilinearparabolicequation AT rnturaev nonlocalstefanproblemforquasilinearparabolicequation |