Ultracontractivity and convergence to equilibrium for supercritical quasilinear parabolic equations on Riemannian manifolds

zbMath1031.58004MaRDI QIDQ1413033

Matteo Bonforte, Gabriele Grillo, Fabio Cipriano

Publication date: 10 November 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldlogarithmic Sobolev inequalityconvergence to equilibriumsupercritical quasilinear parabolic equationsultracontractive estimates

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Groups and semigroups of nonlinear operators (58D07)

Related Items (4)

Smoothing effects for the filtration equation with different powers ⋮ On decay estimates ⋮ Hypercontractivity, Nash inequalities and subordination for classes of nonlinear semigroups ⋮ Regularity and time behavior of the solutions to weak monotone parabolic equations

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