Singular parabolic equations of second order on manifolds with singularities

DOI10.1016/j.jde.2015.09.053zbMath1332.35141arXiv1502.06696OpenAlexW1899114246MaRDI QIDQ890214

Yuanzhen Shao

Publication date: 9 November 2015

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

Full work available at URL: https://arxiv.org/abs/1502.06696

zbMATH Keywords

elliptic operatorssesquilinear formsRiemannian manifolds with singularitiessingular parabolic equationscontractive semigroupsdegenerate boundary value problem

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Singular parabolic equations (35K67) PDEs on manifolds (35R01)

Related Items (8)

On potential wells to a semilinear hyperbolic equation with damping and conical singularity ⋮ Continuous maximal regularity on singular manifolds and its applications ⋮ Conic manifolds under the Yamabe flow ⋮ The Yamabe flow on incomplete manifolds ⋮ Well-posedness of a nonlocal nonlinear diffusion equation of image processing ⋮ Existence and maximalL^p-regularity of solutions for the porous medium equation on manifolds with conical singularities ⋮ Global well-posedness for a class of semilinear hyperbolic equations with singular potentials on manifolds with conical singularities ⋮ The fractional porous medium equation on manifolds with conical singularities. I

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