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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2012-09-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20815/17074 |
| _version_ | 1811330228891418624 |
|---|---|
| author | Jozil O Takhirov Rasul N Turaev |
| author_facet | Jozil O Takhirov Rasul N Turaev |
| author_sort | Jozil 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 | 2024-04-13T15:57:44Z |
| format | Article |
| id | doaj.art-bcf6f6f7b7ab4b6ca32583583497397d |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:57:44Z |
| 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-bcf6f6f7b7ab4b6ca32583583497397d2022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-0116381618232The nonlocal stefan problem for quasilinear parabolic equationJozil O Takhirov0Rasul N Turaev1Nizami Tashkent State Pedagogical UniversityInstitute of Mathematics and Information Technologies of the Academy of Sciences of UzbekistanIn 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.https://journals.eco-vector.com/1991-8615/article/viewFile/20815/17074nonlocal problemstefan problemquasilinear parabolic equationfree boundarypriori estimatesexistence and uniqueness theoremfixed boundarymethod of potentialsmaximum principle |
| spellingShingle | Jozil O Takhirov Rasul N Turaev The nonlocal stefan problem for quasilinear parabolic equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki nonlocal problem stefan problem quasilinear parabolic equation free boundary priori estimates existence and uniqueness theorem fixed boundary method of potentials maximum principle |
| 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 |
| topic | nonlocal problem stefan problem quasilinear parabolic equation free boundary priori estimates existence and uniqueness theorem fixed boundary method of potentials maximum principle |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20815/17074 |
| work_keys_str_mv | AT jozilotakhirov thenonlocalstefanproblemforquasilinearparabolicequation AT rasulnturaev thenonlocalstefanproblemforquasilinearparabolicequation AT jozilotakhirov nonlocalstefanproblemforquasilinearparabolicequation AT rasulnturaev nonlocalstefanproblemforquasilinearparabolicequation |