On the solvability in the sense of sequences for some non-Fredholm operators

DOI10.4310/DPDE.2014.v11.n2.a1zbMath1317.35163OpenAlexW2328563298MaRDI QIDQ396534

Vitali Vougalter, Vitaly A. Volpert

Publication date: 13 August 2014

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/dpde.2014.v11.n2.a1

zbMATH Keywords

Sobolev spacessolvability conditionsnon-Fredholm operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

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Linear and nonlinear non-Fredholm operators and their applications ⋮ Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian ⋮ Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions ⋮ Existence in the sense of sequences of stationary solutions for some non-Fredholm integro-differential equations ⋮ On solvability in the sense of sequences for some non-Fredholm operators in higher dimensions ⋮ Solvability in the sense of sequences for some fourth order non-Fredholm operators ⋮ Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion ⋮ On the existence in the sense of sequences of stationary solutions for some systems of non-Fredholm integro-differential equations ⋮ Solvability in the sense of sequences for some non-Fredholm operators related to the double scale anomalous diffusion in higher dimensions

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