A boundary Harnack inequality for singular equations of 𝑝-parabolic type
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Publication:3189576
DOI10.1090/S0002-9939-2014-12171-XzbMath1302.35223OpenAlexW2104731707WikidataQ58880718 ScholiaQ58880718MaRDI QIDQ3189576
Giuseppe Mingione, Tuomo Kuusi, Kaj Nyström
Publication date: 12 September 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12171-x
Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)
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The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ Boundary behavior of solutions to the parabolic \(p\)-Laplace equation ⋮ Boundary behavior of solutions to the parabolic \(p\)-Laplace equation. II ⋮ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Unnamed Item ⋮ Well-posedness and long time behavior for \(p\)-Laplacian equation with nonlinear boundary condition ⋮ Global existence for the \(p\)-Sobolev flow ⋮ Boundary estimates for non-negative solutions to non-linear parabolic equations ⋮ Regularity estimates for the \(p\)-Sobolev flow ⋮ Carleson estimates for the singular parabolic \(p\)-Laplacian in time-dependent domains
Cites Work
- Unnamed Item
- Boundary estimates for certain degenerate and singular parabolic equations
- Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets
- Potential estimates and gradient boundedness for nonlinear parabolic systems
- A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
- Boundary behavior and the Martin boundary problem for \(p\) harmonic functions in Lipschitz domains
- Degenerate parabolic equations
- Gradient estimates for a class of parabolic systems
- Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains
- Harnack estimates for quasi-linear degenerate parabolic differential equations
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Second order parabolic equations in nonvariational form: Boundary Harnack principle and comparison theorems for nonnegative solutions
- Some properties of nonnegative solutions of parabolic differential operators
- Behavior near the boundary of positive solutions of second order parabolic equations
- Doubling properties for second order parabolic equations.
- Regularity of Lipschitz free boundaries in two-phase problems for the \(p\)-Laplace operator
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Regularity of flat free boundaries in two-phase problems for the \(p\)-Laplace operator
- Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains
- Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains
- Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
- Behavior near the boundary of positive solutions of second order parabolic equations. II
- The asymptotic profile of solutions of a class of doubly nonlinear equations
- The Dirichlet problem for second order parabolic operators
- On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation
- Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
- Boundary and initial regularity for solutions of degenerate parabolic equations
- Gradient regularity for nonlinear parabolic equations
- Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
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