Lobachevskii Journal of Mathematics.
Pleiades Publishing.
Vol. 42.
2021.
P. 974-988
The First Boundary Value Problem for Quasilinear Parabolic Differential-Difference Equations
Abstract: We consider the first boundary value problem for quasilinear parabolic differential–difference equations. The uniqueness and existence of generalized solutions are proved. The proofs are based on the theory of linear differential–difference equations and the theory of monotone (pseudomonotone) operators. © 2021, Pleiades Publishing, Ltd.
Authors
Solonukha O.V.
1,
2
Publisher
Pleiades Publishing
Number of issue
5
Language
English
Pages
1067-1077
Status
Published
Link
Volume
42
Year
2021
Organizations
- 1 Federal Research Center ‘‘Informatics and Control’’, Russian Academy of Science, Moscow, 119333, Russian Federation
- 2 Peoples’ Frendship University of Russia, Moscow, 117198, Russian Federation
Keywords
monotone operator; quasilinear parabolic differential–difference equation; strong ellipticity
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CALCULATIONS OF NORMS FOR MONOTONE OPERATORS ON CONES OF FUNCTIONS WITH MONOTONICITY PROPERTIES
Article
Lobachevskii Journal of Mathematics.
Pleiades Publishing.
Vol. 42.
2021.
P. 857-874