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Singular evolution on manifolds, their smoothing properties, and Sobolev inequalities

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Publication:1030827
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zbMath1163.58304MaRDI QIDQ1030827

Matteo Bonforte, Gabriele Grillo

Publication date: 3 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

Riemannian manifoldsSobolev inequalitiessmoothing effectssingular evolutions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


Related Items (5)

On decay estimates ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ On the equivalence between \(p\)-Poincaré inequalities and \(L^r\)-\(L^q\) regularization and decay estimates of certain nonlinear evolutions ⋮ Regularity and time behavior of the solutions to weak monotone parabolic equations ⋮ Asymptotic estimates for the \(p\)-Laplacian on infinite graphs with decaying initial data




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