On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness

DOI10.1070/IM8388zbMath1365.34050MaRDI QIDQ2966739

I. A. Sheipak, Yu. V. Tikhonov

Publication date: 8 March 2017

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral asymptoticsstring equationself-similar functionsmultipliers in Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

Cites Work

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• Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight
• Strongly elliptic operators with singular coefficients
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• Schrödinger operators with singular potentials from the space of multiplicators
• Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator
• Refinement of the spectral asymptotics of generalized Krein Feller operators
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• On a Spectral Problem Related to Self-Similar Measures

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