ELLIPTIC EQUATIONS IN DOMAINS
WITH CUTS: CERTAIN EXAMPLES
Vladimir Vasilyev1, Shaban Kutaiba2
1,2 Chair of Applied Mathematics
and Computer Modeling
Belgorod State National Research University
Pobedy street 85, Belgorod – 308015, RUSSIA

Abstract

We consider some special examples of boundary value problems for a model elliptic pseudo-differential equation in a special cone in 3-dimensional space. Using a concept of wave factorization for an elliptic symbol and the formula for a general solution for the equation we study limit behavior of the solution when some parameters of the cone tend to their limit values.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 2
Year: 2021

DOI: 10.12732/ijam.v34i2.10

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