Existence of stationary solutions for some integro-differential equations with anomalous diffusion

DOI10.1007/s11868-015-0128-6zbMath1342.45010OpenAlexW2174084481MaRDI QIDQ282936

Vitali Vougalter, Vitaly A. Volpert

Publication date: 13 May 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0128-6

zbMATH Keywords

integro-differential equationsSobolev spacesnon-Fredholm operators

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Integro-partial differential equations (45K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Integro-partial differential equations (35R09)

Related Items (8)

Linear and nonlinear non-Fredholm operators and their applications ⋮ Existence of stationary solutions for some integro-differential equations with anomalous diffusion ⋮ Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion ⋮ On solvability in the sense of sequences for some non-Fredholm operators with drift and anomalous diffusion ⋮ On solvability in the sense of sequences for some non-Fredholm operators in higher dimensions ⋮ Solvability of some integro-differential equations with anomalous diffusion in two dimensions ⋮ Solvability in the sense of sequences for some non-Fredholm operators related to the double scale anomalous diffusion in higher dimensions ⋮ Solvability of some integro-differential equations with anomalous diffusion in higher dimensions

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