Self-similar entropy solutions of a singular diffusion equation in arbitrary spatial dimension

DOI10.1016/j.na.2007.07.055zbMath1149.35377OpenAlexW1995141295MaRDI QIDQ944784

Jingxue Yin, Zejia Wang, Chunpeng Wang

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.055

zbMATH Keywords

monotonicityexistencenonexistenceuniquenesssingular diffusion equationself-similar entropy solutionjump hypersurfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Cites Work

• Unnamed Item
• Asymptotic growth for the parabolic equation of prescribed mean curvature
• Motion of level sets by mean curvature. I
• Estimates for evolutionary surfaces of prescribed mean curvature
• Evolutionary surfaces of prescribed mean curvature
• Hyperbolic phenomena in a strongly degenerate parabolic equation
• Interior derivative blow-up for quasilinear parabolic equations
• A difference-differential analogue of the Burgers equation and some models of economic development
• Young measure solutions of a class of forward--backward diffusion equations
• Similar entropy solutions of a singular diffusion equation
• Uniqueness of the entropy solution of a strongly degenerate parabolic equation
• Breakdown in Burgers-type equations with saturating dissipation fluxes
• Effects of a saturating dissipation in Burgers-type equations
• Some Existence Results on Nontrivial Solutions of the Prescribed Mean Curvature Equation
• BV solutions of a singular diffusion equation
• Some non-local transformations between nonlinear diffusion equations

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