ANALYSIS OF DIRECT BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR A MIXED BVP WITH VARIABLE COEFFICIENT, II: SOLUTION REGULARITY AND ASYMPTOTICS

ANALYSIS OF DIRECT BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR A MIXED BVP WITH VARIABLE COEFFICIENT, II: SOLUTION REGULARITY AND ASYMPTOTICS

Mapping and invertibility properties of some parametrix-based surface and volume potentials are studied in Bessel-potential and Besov spaces. These results are then applied to derive regularity and asymptotics of the solution to a system of boundary-domain integral equations associated with a mixed...

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Veröffentlicht in:The Journal of integral equations and applications 2010, Vol.22 (1), p.19-37
Hauptverfasser: CHKADUA, O., MIKHAILOV, S.E., NATROSHVILI, D.
Format: Artikel
Sprache:eng
Schlagworte:
asymptotics
Boundary value problems
boundary-domain integral equations
College mathematics
Differential equations
Fredholm equations
Invertibility
Laplace transformation
mixed problem
parametrix
Partial differential equation
Partial differential equations
Property lines
pseudo-differential equations
Variable coefficients
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Beschreibung
Zusammenfassung:Mapping and invertibility properties of some parametrix-based surface and volume potentials are studied in Bessel-potential and Besov spaces. These results are then applied to derive regularity and asymptotics of the solution to a system of boundary-domain integral equations associated with a mixed BVP for a variable-coefficient PDE, in a vicinity of the curve of change of the boundary condition type.
ISSN:0897-3962
1938-2626
DOI:10.1216/JIE-2010-22-1-19