Asymptotics near extinction for nonlinear fast diffusion on a bounded domain
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Publication:2686987
DOI10.1007/s00205-023-01850-3OpenAlexW4322007339MaRDI QIDQ2686987
Christian Seis, Beomjun Choi, Robert J. McCann
Publication date: 1 March 2023
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02769
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)
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Cites Work
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- Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli
- Behaviour near extinction for the fast diffusion equation on bounded domains
- The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
- Potential theory and optimal convergence rates in fast nonlinear diffusion
- Asymptotics of the fast diffusion equation via entropy estimates
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Symmetry and related properties via the maximum principle
- On the radial behavior of minimal surfaces and the uniqueness of their tangent cones
- Stability of the separable solution for fast diffusion
- Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- Convergence for semilinear degenerate parabolic equations in several space dimensions
- Elliptic partial differential equations of second order
- Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness
- Uniqueness of two-convex closed ancient solutions to the mean curvature flow
- Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\)
- Long-time asymptotics for the porous medium equation: the spectrum of the linearized operator
- Stability of non-isolated asymptotic profiles for fast diffusion
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Flat fronts and stability for the porous medium equation
- Long-time asymptotic expansions for nonlinear diffusions in Euclidean space
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Generic properties of nonlinear boundary value problems
- Refined asymptotics for the blowup of ut — δu = up
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- Fine Asymptotics for Fast Diffusion Equations
- Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains
- Unique Asymptotics of Compact Ancient Solutions to <scp>Three‐Dimensional</scp> Ricci Flow
- Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach
- Quantitative bounds for subcritical semilinear elliptic equations
- Optimal boundary regularity for fast diffusion equations in bounded domains
