Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations
DOI10.1016/j.jde.2023.10.024arXiv2306.14160OpenAlexW4387889643MaRDI QIDQ6065763
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.14160
local boundednesspointwise behaviordouble phaseDeGiorgi-Nash-Moser iterationmixed local and nonlocal parabolic equationssemicontinuity representative
Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Cites Work
- Local behavior of fractional \(p\)-minimizers
- Parabolic equations with \(p,q\)-growth
- Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
- Degenerate parabolic equations
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps
- Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part
- Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
- Hölder regularity for nonlocal double phase equations
- Continuity of solutions to a nonlinear fractional diffusion equation
- Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations
- Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
- Regularity for double phase variational problems
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- Harnack inequalities for double phase functionals
- Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior
- Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
- Local boundedness of variational solutions to nonlocal double phase parabolic equations
- Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations
- Weak Harnack inequality for a mixed local and nonlocal parabolic equation
- Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
- A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
- Semilinear elliptic equations involving mixed local and nonlocal operators
- On Weak and Viscosity Solutions of Nonlocal Double Phase Equations
- (Non)local logistic equations with Neumann conditions
- Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations
- Gradient higher integrability for degenerate parabolic double-phase systems
This page was built for publication: Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations