Solvability in generalized functions of boundary problems for general elliptic systems with a parameter and with discontinuous coefficients

DOI10.1007/BF01058469zbMath0603.35027OpenAlexW1995007885MaRDI QIDQ1082529

V. A. Serdyuk, I. A. Kovalenko

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058469

zbMATH Keywords

discontinuous coefficientssolvabilityparameterisomorphismgeneralized functionstransmission problemparameter dependenceDouglis-Nirenberg ellipticity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

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• A universally asymptotic optimal cubature formula in a class of Hilbert spaces
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• General elliptic boundary-value problems whose right-hand sides do not degenerate smoothly

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