Strongly elliptic operators with singular coefficients

DOI10.1134/S1061920806010079zbMath1173.35429MaRDI QIDQ871756

A. A. Shkalikov, M. I. Neiman-Zade

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

strongly elliptic operatorsgeneralized Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30)

Related Items (12)

Convergence of spectral expansions related to elliptic operators with singular coefficients ⋮ Differential operators of even order with distribution coefficients ⋮ Linear differential operators with distribution coefficients of various singularity orders ⋮ Green's function estimates for elliptic differential operators with singular coefficients and absolute convergence of Fourier series ⋮ On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness ⋮ Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness ⋮ On the spectrum of singular perturbations of operators on the circle ⋮ Singular perturbations of powers of the Laplacian on the torus ⋮ Perturbation of second order nonlinear equation by delta-like potential ⋮ Perturbations of nonlinear elliptic operators by potentials in the space of multiplicators ⋮ Multipliers in Bessel potential spaces with smoothness indices of different sign ⋮ Characterization of spaces of multipliers for Bessel potential spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schrödinger operator on the energy space: Boundedness and compactness criteria
• Schrödinger operators with singular potentials from the space of multiplicators
• Perturbation theory for linear operators.
• Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials
• The form boundedness criterion for the relativistic Schrödinger operator
• Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator

This page was built for publication: Strongly elliptic operators with singular coefficients