On Berni's interpolation inequalities in multiple space dimensions

DOI10.4171/ZAA/1055zbMath0996.35026OpenAlexW2079500124MaRDI QIDQ1598247

Günther Grün

Publication date: 2 November 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1055

zbMATH Keywords

finite speed of propagationwaiting time phenomenon

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Interpolation between normed linear spaces (46B70) Higher-order parabolic equations (35K25)

Related Items (8)

Doubly nonlinear thin-film equations in one space dimension ⋮ Droplet spreading under weak slippage: the waiting time phenomenon ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ Electrified thin films: global existence of non-negative solutions ⋮ BD entropy and Bernis-Friedman entropy ⋮ A generalized thin-film equation in multidimensional space ⋮ The existence of global attractor for a fourth-order parabolic equation

Cites Work

• Higher order nonlinear degenerate parabolic equations
• Finite element approximation of a fourth order nonlinear degenerate parabolic equation
• Nonnegativity preserving convergent schemes for the thin film equation
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
• Finite speed of propagation and continuity of the interface for thin viscous flows
• The thin viscous flow equation in higher space dimensions
• The thin film equation with \(2\leq n < 3\): Finite speed of propagation in terms of the \(L^1\)-norm
• Lubrication approximation with prescribed nonzero contact anggle
• On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
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