On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space . In proof of the th...

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Veröffentlicht in:Lobachevskii journal of mathematics 2021-03, Vol.42 (3), p.536-543
Hauptverfasser: Dzhamalov, S. Z., Ashurov, R. R., Ruziev, U. Sh
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Boundary value problems
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Sobolev space
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Zusammenfassung:In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space . In proof of the theorems are used the methods of ‘‘ -regularizations’’, a priori estimate and successive approximations.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221030094