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
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| Format: | Article |
| Language: | English |
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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 |
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Article |
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doaj-3b525798a46f40e09e366352b6730fe72020-11-25T01:37:20ZengSamara 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 proved http://mi.mathnet.ru/eng/vsgtu1010 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. O. Takhirov R. N. Turaev |
| spellingShingle |
J. O. Takhirov R. N. Turaev The nonlocal Stefan problem for quasilinear parabolic equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
J. O. Takhirov R. N. Turaev |
| author_sort |
J. O. Takhirov |
| title |
The nonlocal Stefan problem for quasilinear parabolic equation |
| title_short |
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_sort |
nonlocal stefan problem for quasilinear parabolic equation |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2012-09-01 |
| 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
|
| url |
http://mi.mathnet.ru/eng/vsgtu1010 |
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AT jotakhirov thenonlocalstefanproblemforquasilinearparabolicequation AT rnturaev thenonlocalstefanproblemforquasilinearparabolicequation AT jotakhirov nonlocalstefanproblemforquasilinearparabolicequation AT rnturaev nonlocalstefanproblemforquasilinearparabolicequation |
| _version_ |
1725058094128431104 |