Entropy solutions to the fully nonlocal diffusion equations

Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09)

Cites Work

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Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
Fractional \(p\)-Laplacian evolution equations
A parabolic problem with a fractional time derivative
Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
Hitchhiker's guide to the fractional Sobolev spaces
Representation of solutions and large-time behavior for fully nonlocal diffusion equations
Uniform estimates and limiting arguments for nonlocal minimal surfaces
A duality approach to the fractional Laplacian with measure data
On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption
Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
Renormalized solutions of the fractional Laplace equation
Integral equations of the first kind of Sonine type
On a nonlinear elliptic-parabolic integro-differential equation with \(L^{1}\)-data.
Entropy solutions for stochastic porous media equations
Existence of entropy solutions to a doubly nonlinear integro-differential equation.
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
Entropy solutions to doubly nonlinear integro-differential equations
Decay estimates for evolutionary equations with fractional time-diffusion
Renormalized and entropy solutions for the fractional \(p\)-Laplacian evolution equations
Large-time behavior for a fully nonlocal heat equation
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces
On the parabolic Harnack inequality for non-local diffusion equations
Equivalence of solutions to fractional \(p\)-Laplace type equations
Nonlocal equations with measure data
Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
On fractional \(p\)-Laplacian parabolic problem with general data
On the fractional \(p\)-Laplacian equations with weight and general datum
Lyapunov functions and convergence to steady state for differential equations of fractional order
Completely positive measures and Feller semigroups
Global existence for a semilinear parabolic Volterra equation
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations
ASYMPTOTIC BEHAVIORS OF FUNDAMENTAL SOLUTION AND ITS DERIVATIVES TO FRACTIONAL DIFFUSION-WAVE EQUATIONS
Non-local Diffusions, Drifts and Games
ENTROPY AND RENORMALIZED SOLUTIONS FOR THEp(x)-LAPLACIAN EQUATION WITH MEASURE DATA
On the existence of weak solutions of perturbated systems with critical growth.
Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
A weak Harnack inequality for fractional evolution equations with discontinuous coefficients
An Extension Problem Related to the Fractional Laplacian
The random walk's guide to anomalous diffusion: A fractional dynamics approach
Entropy solutions for time-fractional porous medium type equations.

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