Convergence of spectral expansions related to elliptic operators with singular coefficients

DOI10.1134/S0001434622030130zbMath1490.35123OpenAlexW4224438359MaRDI QIDQ2133827

Valery Serov, U. M. Kyllönen

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030130

zbMATH Keywords

singular coefficientsspectral expansionslinear elliptic differential operatorFriedrichs existence

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Higher-order elliptic equations (35J30)

Related Items (1)

Green's function estimates for elliptic differential operators with singular coefficients and absolute convergence of Fourier series

Cites Work

• Strongly elliptic operators with singular coefficients
• Green's function and convergence of Fourier series for elliptic differential operators with potential from Kato space
• Fourier series, Fourier transform and their applications to mathematical physics
• A domain description and Green's function estimates up to the boundary for elliptic operator with singular potential
• The \(L^p\) theory of divergence form elliptic operators under the Dirichlet condition
• L ^p Spectral Theory of Higher-Order Elliptic Differential Operators
• The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential
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