Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion
From MaRDI portal
Publication:6052147
DOI10.1090/proc/16459zbMath1523.35085arXiv2211.03357MaRDI QIDQ6052147
Publication date: 21 September 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.03357
Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (3)
The impact of intrinsic scaling on the rate of extinction for anisotropic non-Newtonian fast diffusion ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization of solutions of anisotropic parabolic equations
- Concerning the regularity of the anisotropic porous medium equation
- Degenerate parabolic equations
- Liouville-type theorems for certain degenerate and singular parabolic equations
- On stabilization of solutions of the Cauchy problem for linear degenerate parabolic equations
- Electrorheological fluids: modeling and mathematical theory
- Anisotropic \(p\)-Laplacian evolution of fast diffusion type
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Hölder regularity for porous medium systems
- Regularity under general and \(p,q\)-growth conditions
- Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations
- Liouville theorems for a class of linear second-order operators with nonnegative characteristic form
- A note on the heat equation
- Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior
- On the local behavior of local weak solutions to some singular anisotropic elliptic equations
- On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
- Harnack's Inequality for Degenerate and Singular Parabolic Equations
- Liouville's Theorem for Parabolic Equations of the Second Order with Constant Coefficients
- Liouville theorems for heat functions
- Liouville theorems for ancient caloric functions via optimal growth conditions
- Evolution PDEs with Nonstandard Growth Conditions
- Superlinear Parabolic Problems
- A harnack inequality for parabolic differential equations
- The Role of the Appell Transformation in the Theory of Heat Conduction
- Parabolic Harnack estimates for anisotropic slow diffusion
This page was built for publication: Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion