The state density of elliptic operators with random potentials

DOI10.1007/BF01765145zbMath0497.60061MaRDI QIDQ1170821

S. Singh

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesGaussian random fieldunbounded random potential

Mathematics Subject Classification ID

Gaussian processes (60G15) Random operators and equations (aspects of stochastic analysis) (60H25) Probabilistic potential theory (60J45) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Estimates for the state density for ordinary differential operators with white gaussian noise potential

Cites Work

• THE INDEX OF RANDOM ELLIPTIC OPERATORS. I
• [https://portal.mardi4nfdi.de/wiki/Publication:4134658 On spectra of the Schr�dinger operator with a white Gaussian noise potential]
• THE STATE DENSITY AND OTHER SPECTRAL INVARIANTS OF SELFADJOINT ELLIPTIC OPERATORS WITH RANDOM COEFFICIENTS
• SPECTRA OF RANDOM SELF ADJOINT OPERATORS
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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