An intrinsic metric approach to uniqueness of the positive Cauchy--Neumann problem for parabolic equations.

DOI10.1016/S0022-247X(02)00449-3zbMath1106.35310OpenAlexW2071295218MaRDI QIDQ1857010

Kazuhiro Ishige

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00449-3

zbMATH Keywords

uniqueness of nonnegative solutionsparabolic Harnack inequality with Neumann boundary conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (7)

Global solutions of the heat equation with a nonlinear boundary condition ⋮ 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 ⋮ 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

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