Solvability of some integro-differential equations with transport and concentrated sources

DOI10.1007/s10884-022-10212-8MaRDI QIDQ6612546

Messoud A. Efendiev, Vitali Vougalter

Publication date: 1 October 2024

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

zbMATH Keywords

integro-differential equationsSobolev spacesDirac delta functionnon-Fredholm operators

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reaction-diffusion systems without the Fredholm property.
• On the existence of stationary solutions for some non-Fredholm integro-differential equations
• Propriétés d'indice en théorie höldérienne pour des opérateurs différentiels elliptiques dans \(\mathbb{R}^n\). (Index properties in Hölder theory for elliptic differential operators in \(\mathbb{R}^n\).)
• On the large time behavior of solutions of fourth order parabolic equations and \(\varepsilon\)-entropy of their attractors
• Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
• Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential
• Exponential decay and Fredholm properties in second-order quasilinear elliptic systems
• Reaction-diffusion problems with non-Fredholm operators
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems
• On the solvability conditions for the diffusion equation with convection terms
• Linear and nonlinear non-Fredholm operators and their applications
• Existence of solutions for some systems of integro-differential equations with transport and superdiffusion
• Solvability of some integro-differential equations with drift
• Solvability in the sense of sequences for some fourth order non-Fredholm operators
• Solvability of some integro-differential equations with anomalous diffusion and transport
• Fast soliton scattering by delta impurities
• Mixed exterior Laplace's problem
• Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion
• PROPRIÉTÉ D'INDICE EN THÉORIE HÖLDÉRIENNE POUR LE PROBLÈME EXTÉRIEUR DE DIRICHLET
• Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation
• Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
• Exactly Solvable Models and Bifurcations: the Case of the CubicNLSwith aδor aδ′ Interaction in Dimension One
• Solvability conditions for some non-Fredholm operators
• Spectra of positive and negative energies in the linearized NLS problem
• On Threshold Eigenvalues and Resonances for the Linearized NLS Equation
• Solvability conditions for elliptic problems with non-Fredholm operators
• FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Tutorial on Neural Field Theory
• Solvability of some integro-differential equations with concentrated sources
• Standing lattice solitons in the discrete NLS equation with saturation
• Elliptic Partial Differential Equations

This page was built for publication: Solvability of some integro-differential equations with transport and concentrated sources