Classification of razor blades to the filtration equation -- the sublinear case.

DOI10.1016/S0022-0396(02)00019-0zbMath1043.35087MaRDI QIDQ1864649

Emmanuel Chasseigne

Publication date: 18 March 2003

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

zbMATH Keywords

fast diffusion equationsingular solutionsBorel measuressublinear filtration

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Analyticity in context of PDEs (35A20)

Related Items (4)

The pressure equation in the fast diffusion range ⋮ Solutions with snaking singularities for the fast diffusion equation ⋮ Solutions with moving singularities for equations of porous medium type ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation

Cites Work

• Nonlinear parabolic equations involving measures as initial conditions
• Non-negative solutions to fast diffusions
• Source-type solutions of degenerate diffusion equations with absorption
• A very singular solution of the heat equation with absorption
• Non-negative solutions of generalized porous medium equations
• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• Isolated singularities in semilinear problems
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• A very singular solution of the porous media equation with absorption
• Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
• Local behavior of solutions of quasi-linear equations
• Initial trace for a porous medium equation. I: The strong absorption case
• The Initial Trace of a Solution of the Porous Medium Equation
• A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Singular Solutions of the Heat Equation with Absorption
• ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
• Singular solutions of some nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• Initial trace of positive solutions of some nonlinear parabolic equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Classification of razor blades to the filtration equation -- the sublinear case.