Статья
2017
On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem
A. S. Ivanova, M. F. Pavlova
Русская математика
https://doi.org/10.3103/S1066369X17030082
Abstract / Full Text
We consider a parabolic equation whose space operator is a product of a nonlinear bounded function which depends on a nonlocal characteristic with respect to a solution gradient and a strongly monotone potential operator. We prove the existence and uniqueness of the solution in the class of the vector-valued functions with values in the Sobolev space.
Author information
- Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, RussiaA. S. Ivanova & M. F. Pavlova
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