On the Cauchy problem for nonlinear parabolic equations with variable density

DOI10.1007/s00028-009-0018-6zbMath1239.35078OpenAlexW1969707352MaRDI QIDQ423359

Fabio Punzo

Publication date: 2 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-009-0018-6

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (16)

Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions ⋮ Dirichlet conditions at infinity for parabolic and elliptic equations ⋮ Blow-up and global existence for the inhomogeneous porous medium equation with reaction ⋮ Fractional porous media equations: existence and uniqueness of weak solutions with measure data ⋮ Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients ⋮ Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution ⋮ On the Cauchy problem for a general fractional porous medium equation with variable density ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space ⋮ Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations ⋮ Conditions at infinity for the inhomogeneous filtration equation ⋮ Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations ⋮ Uniqueness of very weak solutions for a fractional filtration equation ⋮ Prescribed conditions at infinity for parabolic equations ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density ⋮ On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

Cites Work

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• On the Cauchy problem for a class of parabolic equations with variable density
• Admissible conditions for parabolic equations degenerating at infinity
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• The Filtration Equation in a Class of Functions Decreasing at Infinity

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