Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017Special Issue - Nonlocal and delay equations
|Page(s)||240 - 248|
|Published online||30 December 2017|
Analysis of functional-differential equation with orthotropic contractions
Peoples’ Friendship University of Russia,
2 Dorodnicyn Computing Center, FRC CSC RAS, Moscow, Russia
* e-mail: firstname.lastname@example.org
Accepted: 13 November 2017
In the elasticity theory, plasma theory, and the theory of multidimensional diffusion processes, some phenomena can be described by boundary value problems for elliptic functional differential equations that associate boundary points with inner points. This nonlocal effect leads to the appearance of singularities inside the domain. The paper is devoted to an elliptic partial differential equation containing contracted and expanded arguments of the higher derivatives of the unknown function. A priori estimates of generalized solutions are obtained in weighted spaces.
Mathematics Subject Classification: 35J15 / 35J75
Key words: Functional-differential equations / contraction operator / weighted spaces
© EDP Sciences, 2017
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