A generalized diffusion equation: Radial symmetries and comparison theorems

DOI10.1016/0022-247X(83)90135-XzbMath0536.35036OpenAlexW2013707508WikidataQ60171572 ScholiaQ60171572MaRDI QIDQ791759

Julio E. Bouillet, Colin Atkinson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90135-x

zbMATH Keywords

existenceuniquenessdiffusion equationcomparison theoremssimilarity solutionsradial symmetries

Mathematics Subject Classification ID

Related Items (9)

Existence results for doubly nonlinear higher order parabolic equations on unbounded domains ⋮ Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem ⋮ On a parabolic equation with slow and fast diffusions ⋮ On a doubly nonlinear diffusion equation in hydrology ⋮ Krasnoselskii's theorem on operators compressing a cone: Application to some singular boundary value problems ⋮ A necessary and sufficient condition for finite speed of propagation in the theory of doubly nonlinear degenerate parabolic equations ⋮ A diffusion problem with a measure as initial datum ⋮ Large time behaviour of the doubly nonlinear porous medium equation ⋮ Some moving boundary problems for a generalised diffusion equation

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• A necessary and sufficient condition for the existence of an interface in flows through porous media
• Similarity solutions of the equation of one-dimensional heat conduction
• Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form
• The total variation of solutions of parabolic differential equations and a maximum principle in unbounded domains
• Some qualitative properties of solutions of a generalised diffusion equation

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