Infinite speed of support propagation for the Derrida-Lebowitz-Speer-Spohn equation and quantum drift-diffusion models

DOI10.1007/s00030-013-0235-0zbMath1302.35020OpenAlexW2083942955MaRDI QIDQ464402

Julian Fischer

Publication date: 17 October 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-013-0235-0

zbMATH Keywords

Hardy's inequalityDLSS equationnonnegativity-preserving higher-order equationweighted entropy estimates

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Quasilinear parabolic equations (35K59)

Related Items (3)

An extension of the Derrida–Lebowitz–Speer–Spohn equation ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ A convergent Lagrangian discretization for a nonlinear fourth-order equation

Cites Work

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• A Nonlinear Fourth‐order Parabolic Equation with Nonhomogeneous Boundary Conditions

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