A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

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Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
Fractional \(p\)-Laplacian evolution equations
Local behavior of fractional \(p\)-minimizers
Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
Nonlocal Harnack inequalities
Hitchhiker's guide to the fractional Sobolev spaces
Global Hölder regularity for the fractional \(p\)-Laplacian
Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
Degenerate parabolic equations
A priori estimates for integro-differential operators with measurable kernels
Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
Local properties for weak solutions of nonlocal heat equations
The fractional \(p\)-Laplacian evolution equation in \(\mathbb{R}^N\) in the sublinear case
Continuity of solutions to a nonlinear fractional diffusion equation
Local Hölder regularity for nonlocal equations with variable powers
Hölder regularity for weak solutions to nonlocal double phase problems
The evolution fractional p-Laplacian equation in \(\mathbb{R}^N\). Fundamental solution and asymptotic behaviour
Higher Hölder regularity for nonlocal equations with irregular kernel
Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
Harnack's inequality for parabolic nonlocal equations
Nonlocal self-improving properties
Nonlocal equations with measure data
Local boundedness of variational solutions to nonlocal double phase parabolic equations
Regularity theory for nonlocal equations with VMO coefficients
Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
Local Regularity for Parabolic Nonlocal Operators
Regularity theory for parabolic nonlinear integral operators
Interpolation inequalities in Besov spaces
Local Hölder continuity for fractional nonlocal equations with general growth
Large time behavior for a nonlocal nonlinear gradient flow
Gradient regularity in mixed local and nonlocal problems

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