Email this article The nonlocal stefan problem for quasilinear parabolic equation
- Authors: Takhirov J.O1, Turaev R.N2
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Affiliations:
- Nizami Tashkent State Pedagogical University
- Institute of Mathematics and Information Technologies of the Academy of Sciences of Uzbekistan
- Issue: Vol 16, No 3 (2012)
- Pages: 8-16
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20815
- ID: 20815
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Abstract
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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##article.viewOnOriginalSite##About the authors
Jozil O Takhirov
Nizami Tashkent State Pedagogical University
Email: prof.takhirov@yahoo.com
(Dr. Sci. (Phys. & Math.)), Head of Dept., Dept. of Mathematical Analysis 103, Yusuf Khos Khojib st., Tashkent, 700100, Uzbekistan
Rasul N Turaev
Institute of Mathematics and Information Technologies of the Academy of Sciences of Uzbekistan
Email: rasul.turaev@mail.ru
(Ph. D. (Phys. & Math.)), Senior Research Scientist, Lab. of Differential Equations 29, Do’rmon yo’li srt., Tashkent, 100125, Uzbekistan
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