Nonlocal complement value problem for a global in time parabolic equation
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Publication:2091755
DOI10.1007/s41808-022-00175-8zbMath1501.35130arXiv2102.07278OpenAlexW4285588166WikidataQ114217429 ScholiaQ114217429MaRDI QIDQ2091755
Guy Fabrice Foghem Gounoue, Jean-Daniel Djida, Yannick Kouakep Tchaptchié
Publication date: 2 November 2022
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07278
Initial-boundary value problems for second-order parabolic equations (35K20) Integro-differential operators (47G20) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)
Related Items (2)
A remark on a nonlocal-in-time heat equation ⋮ A remake of Bourgain-Brezis-Mironescu characterization of Sobolev spaces
Cites Work
- Unnamed Item
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- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Nonlocal diffusion and applications
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Hitchhiker's guide to the fractional Sobolev spaces
- Ten equivalent definitions of the fractional Laplace operator
- Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
- Nonlocal problems with Neumann boundary conditions
- Integro-differential equations of hyperbolic type with positive definite kernels
- Existence and uniqueness of mild solutions for fractional partial integro-differential equations
- Variational problems with free boundaries for the fractional Laplacian
- A problem with time-averaged data for nonlinear parabolic equations
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Initial boundary value problem for a nonlocal in time parabolic equation
- The Dirichlet problem for nonlocal Lévy-type operators
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- Local compactness and nonvanishing for weakly singular nonlocal quadratic forms
- Mosco convergence of nonlocal to local quadratic forms
- What is the fractional Laplacian? A comparative review with new results
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- Regularity estimates for elliptic nonlocal operators
- Nonlocal time-porous medium equation: weak solutions and finite speed of propagation
- The Dirichlet problem for nonlocal operators
- Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory
- Weak compactness and reflexivity
- Regularity theory for general stable operators: parabolic equations
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
- A strongly nonlinear elliptic boundary value problem
- Ein Fixpunktsatz
- Local Regularity for Parabolic Nonlocal Operators
- Recovering memory kernels in parabolic transmission problems
- Lévy Processes and Stochastic Calculus
- Boundary value problem for a global‐in‐time parabolic equation
- Optimal control of fractional semilinear PDEs
- The Fractional Laplacian
- Fractional thoughts
- Regularity results for nonlocal parabolic equations
- An Extension Problem Related to the Fractional Laplacian
- An Introduction to Metric Spaces and Fixed Point Theory
- Nonlocal equations in bounded domains: a survey
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