Boundary Value Problems for Elliptic Pseudodifferential Equations in a Multidimensional Cone

We consider model boundary value problems for elliptic pseudodifferential equations in multidimensional cones. A result on the unique solvability and representation of solutions of some boundary value problems in suitable Sobolev–Slobodetskii spaces is obtained. A priori estimates of solutions are g...

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Bibliographic Details
Published in:Differential equations 2020-10, Vol.56 (10), p.1324-1334
Main Author: Vasil’ev, V. B.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We consider model boundary value problems for elliptic pseudodifferential equations in multidimensional cones. A result on the unique solvability and representation of solutions of some boundary value problems in suitable Sobolev–Slobodetskii spaces is obtained. A priori estimates of solutions are given.
ISSN:0012-2661
1608-3083
DOI:10.1134/S00122661200100092