Pseudodifferential Equations on Manifolds with Complicated Boundary Singularities

We consider model pseudodifferential equations in canonical multidimensional domains with boundary singularities presented by the union of cones or a cone of lower dimension. We study the solvability of these equations by using the wave factorization concept.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-03, Vol.230 (1), p.175-183
Main Author: Vasil’ev, V. B.
Format: Article
Language:English
Subjects:
Cones
DIFFERENTIAL EQUATIONS
FACTORIZATION
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
SINGULARITY
Singularity (mathematics)
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Description
Summary:We consider model pseudodifferential equations in canonical multidimensional domains with boundary singularities presented by the union of cones or a cone of lower dimension. We study the solvability of these equations by using the wave factorization concept.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3737-9