Solvability of some integro-differential equations with drift

zbMath1501.47122MaRDI QIDQ2176806

Vitali Vougalter, Messoud A. Efendiev

Publication date: 5 May 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1586160077

zbMATH Keywords

existenceuniquenessintegro-differential equationBanach-Caccioppoli fixed point theorem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Applications of operator theory to differential and integral equations (47N20) Integro-differential operators (47G20) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

Related Items (9)

Linear and nonlinear non-Fredholm operators and their applications ⋮ Existence of solutions for some systems of integro-differential equations with transport and superdiffusion ⋮ Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion ⋮ 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 ⋮ Solvability of some integro-differential equations with drift and superdiffusion ⋮ Solvability in the sense of sequences for some fourth order non-Fredholm operators ⋮ Solvability of some integro-differential equations with anomalous diffusion and transport ⋮ On the solvability of some systems of integro-differential equations with concentrated sources

Cites Work

• Spatial structures and generalized travelling waves for an integro-differential equation
• Reaction-diffusion problems with non-Fredholm operators
• Existence in the sense of sequences of stationary solutions for some non-Fredholm integro-differential equations
• The speed of propagation for KPP type problems. I: Periodic framework
• Introduction to spectral theory. With applications to Schrödinger operators
• Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems
• On the solvability conditions for the diffusion equation with convection terms
• Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation
• Solvability conditions for some non-Fredholm operators
• The non-local Fisher–KPP equation: travelling waves and steady states
• Solvability conditions for elliptic problems with non-Fredholm operators
• On the Existence of Stationary Solutions for Some Systems of Non-Fredholm Integro-Differential Equations
• Solvability of boundary problems for general elliptic systems
• Elliptic Partial Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Solvability of some integro-differential equations with drift