Reverse smoothing effects, fine asymptotics, and Harnack inequalities for fast diffusion equations
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Publication:2472168
DOI10.1155/2007/21425zbMath1166.35008arXiv0805.4823OpenAlexW2051391036WikidataQ59213038 ScholiaQ59213038MaRDI QIDQ2472168
Matteo Bonforte, Juan Luis Vazquez
Publication date: 20 February 2008
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.4823
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (2)
Quantitative local and global a priori estimates for fractional nonlinear diffusion equations ⋮ Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
Cites Work
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- On the local behavior of solutions of singular parabolic equations
- Stability of the separable solution for fast diffusion
- Large time behaviour of solutions of the porous medium equation in bounded domains
- An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
- A stability technique for evolution partial differential equations. A dynamical systems approach
- Asymptotic behaviour for the porous medium equation posed in the whole space.
- Semilinear elliptic equations and supercritical growth
- The Dirichlet problem for the porous medium equation in bounded domains. Asymptotic behavior
- The Initial Trace of a Solution of the Porous Medium Equation
- Geometrical properties of solutions of the Porous Medium Equation for large times
- Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
- The Cauchy Problem for u t = Δu m When 0 < m < 1
- Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations
- Elliptic Partial Differential Equations of Second Order
- Fine Asymptotics for Fast Diffusion Equations
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