Fractional heat equation with singular nonlinearity
DOI10.1007/s11868-022-00484-5zbMath1498.35562OpenAlexW4296071930WikidataQ114221572 ScholiaQ114221572MaRDI QIDQ2080894
Ahmed Youssfi, Ghoulam Ould Mohamed Mahmoud, Boumediene Abdellaoui
Publication date: 11 October 2022
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-022-00484-5
parabolic equationsfractional Laplaciansingular nonlinearitypositivity of solutionssingular measuresfractional parabolic capacity
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Singular parabolic equations (35K67) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Nonlocal diffusion and applications
- The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
- Optimal results for the fractional heat equation involving the Hardy potential
- Semilinear problems for the fractional Laplacian with a singular nonlinearity
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Estimates of the Green function for the fractional Laplacian perturbed by gradient
- A singular parabolic equation: existence, stabilization
- Hitchhiker's guide to the fractional Sobolev spaces
- Singular parabolic problems with possibly changing sign data
- Nonlocal problems with singular nonlinearity
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian
- Parabolic capacity and soft measures for nonlinear equations
- Variational methods for non-local operators of elliptic type
- Renormalized and entropy solutions for the fractional \(p\)-Laplacian evolution equations
- Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary
- Nonlocal semilinear elliptic problems with singular nonlinearity
- On the KPZ equation with fractional diffusion: global regularity and existence results
- Positive solutions to a fractional equation with singular nonlinearity
- Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence
- On singular equations involving fractional Laplacian
- Smooth measures and capacities associated with nonlocal parabolic operators
- A nonlinear parabolic problem with singular terms and nonregular data
- Existence of mild solutions for a singular parabolic equation and stabilization
- Degenerate parabolic equations with singular lower order terms.
- Regularity and capacity for the fractional dissipative operator
- Semilinear elliptic equations with singular nonlinearities
- On fractional \(p\)-Laplacian parabolic problem with general data
- Semilinear fractional elliptic equations involving measures
- The Yamabe equation in a non-local setting
- Some remarks on the solvability of non-local elliptic problems with the Hardy potential
- Strongly Nonlocal Dislocation Dynamics in Crystals
- Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources
- Parabolic Capacity and Sobolev Spaces
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Variational Methods for Nonlocal Fractional Problems
- The Fractional Laplacian
- Regularity theory for fully nonlinear integro-differential equations
- Lévy Processes and Stochastic Calculus
- The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
- Obstacle Problems Involving the Fractional Laplacian
- Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions
- The Fractional Laplacian
This page was built for publication: Fractional heat equation with singular nonlinearity