An intrinsic metric approach to uniqueness of the positive Dirichlet problem for parabolic equations in cylinders

DOI10.1006/jdeq.1999.3646zbMath0956.35060OpenAlexW2050646806MaRDI QIDQ1818845

Kazuhiro Ishige

Publication date: 28 February 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3646

zbMATH Keywords

Harnack type inequalities

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (10)

Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients ⋮ Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds ⋮ The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case ⋮ The porous medium equation with large initial data on negatively curved Riemannian manifolds ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Parabolic quasi-concavity for solutions to parabolic problems in convex rings ⋮ Doob’s ω-Transform on Local Dirichlet Spaces ⋮ Porous medium equations on manifolds with critical negative curvature: unbounded initial data ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density ⋮ An intrinsic metric approach to uniqueness of the positive Cauchy--Neumann problem for parabolic equations.

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