Green's function and convergence of Fourier series for elliptic differential operators with potential from Kato space
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Publication:963193
DOI10.1155/2010/902638zbMath1197.47059OpenAlexW2029386266WikidataQ58649189 ScholiaQ58649189MaRDI QIDQ963193
Publication date: 8 April 2010
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/223614
Boundary value problems for higher-order elliptic equations (35J40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05) Green's functions for elliptic equations (35J08)
Related Items (3)
Convergence of spectral expansions related to elliptic operators with singular coefficients ⋮ Green's function estimates for elliptic differential operators with singular coefficients and absolute convergence of Fourier series ⋮ Properties in L p of root functions for a nonlocal problem with involution
Cites Work
- Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator
- Absolute convergence of spectral expansions
- On spectral expansions of functions from \(H_ p^ \alpha\) for a differential operator with a singularity at the surface
- Absolute convergence of eigenfunction expansions
- On eigenfunction expansions associated with the Schrödinger operator with a singular potential
- L p Spectral Theory of Higher-Order Elliptic Differential Operators
- Dirichlet's problem for linear elliptic partial differential equations
- The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential
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