A spectral Sobolev problem for the biharmonic operator

DOI10.1134/S1995080223030290zbMath1518.58010OpenAlexW4382054223MaRDI QIDQ6114605

E. N. Semenova, A. Yu. Savin

Publication date: 12 July 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223030290

zbMATH Keywords

biharmonic operatorSobolev problemFriedrichs extensioncoboundary operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic maps, etc. (58E20)

Cites Work

• Some asymptotic expansions in Sobolev problems
• Essential spectrum of Schrödinger operators with \(\delta\)-interactions on unbounded hypersurfaces
• Aspects of boundary problems in analysis and geometry
• Index of Sobolev problems on manifolds with many-dimensional singularities
• Traces of quantized canonical transformations on submanifolds and their applications to Sobolev problems with nonlocal conditions
• BOUNDARY CONDITIONS ON THIN MANIFOLDS AND THE SEMIBOUNDEDNESS OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR WITH POINTWISE POTENTIAL
• Relative elliptic theory and the Sobolev problem
• On the Schrödinger equation with potential concentrated on a surface
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