Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator

DOI10.1016/j.jmaa.2006.06.014zbMath1387.35301OpenAlexW1990200786MaRDI QIDQ868771

Valery Serov

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.014

zbMATH Keywords

fundamental solutionFourier seriesspectral theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) General topics in linear spectral theory for PDEs (35P05) Fundamental solutions to PDEs (35A08) Degenerate elliptic equations (35J70)

Related Items (2)

Green's function and convergence of Fourier series for elliptic differential operators with potential from Kato space ⋮ A domain description and Green's function estimates up to the boundary for elliptic operator with singular potential

Cites Work

• Partial differential equations. 3: Nonlinear equations
• Bounds For The Fundamental Solution Of Degenerate Parabolic Equations
• Bounds for the fundamental solution of degenerate parabolic equations
• The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential
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