Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach

DOI10.1090/memo/1101zbMath1315.35004arXiv1204.6434OpenAlexW2963425592MaRDI QIDQ5248124

Jochen Denzler, Herbert Koch, Robert J. McCann

Publication date: 27 April 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6434

zbMATH Keywords

Barenblatt solutionHölder spaces on cigarmanifold with a cylindrical end

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Flows in porous media; filtration; seepage (76S05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Self-similar solutions to PDEs (35C06)

Related Items

Radial fast diffusion on the hyperbolic space, Gradient flow structure of a multidimensional nonlinear sixth-order quantum-diffusion equation, Functional inequalities and applications to doubly nonlinear diffusion equations, Asymptotics near extinction for nonlinear fast diffusion on a bounded domain, Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion, The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains, Invariant manifolds for the thin film equation, Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights, The thin-film equation close to self-similarity, Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities, Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods

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