Sobolev-like Hilbert spaces induced by elliptic operators

DOI10.1007/s11785-018-00886-8zbMath1427.46025arXiv1805.08528OpenAlexW2804601133WikidataQ128607303 ScholiaQ128607303MaRDI QIDQ2313032

Tetiana Kasirenko, Aleksandr A. Murach, Vladimir A. Mikhailets

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08528

zbMATH Keywords

Sobolev spaceFredholm operatorelliptic operatorelliptic problemcomplex interpolation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Higher-order elliptic equations (35J30)

Related Items (1)

Elliptic problems with rough boundary data in generalized Sobolev spaces

Cites Work

• The refined Sobolev scale, interpolation and elliptic problems
• On the theory of general partial differential operators
• Problèmes aux limites non homogènes. II, III
• Problèmes aux limites non homogenes. VII
• Irregular elliptic boundary-value problems and Hörmander spaces
• Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev
• Problèmes aux limites non homogenes. VI
• Another approach to elliptic boundary problems
• Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
• Extension of some Lions-Magenes theorems
• Elliptic Problems and Hörmander Spaces
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