Some Phragmén-Lindelöf type results for the biharmonic equation

DOI10.1007/BF00945929zbMath0810.31001OpenAlexW2003883403MaRDI QIDQ1332254

Lawrence E. Payne, Philip W. Schaefer

Publication date: 5 October 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945929

zbMATH Keywords

decaybiharmonic equationenergy estimationsemi infinite strips

Mathematics Subject Classification ID

Related Items (17)

On domain decomposition for elliptic systems ⋮ Some alternative results for some nonlinear parabolic equations in the half cylinder ⋮ Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III ⋮ Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow ⋮ Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. ⋮ Structural stability for a coupled system of wave plate type ⋮ Spatial behavior of a coupled system of wave-plate type ⋮ Spatial Decay Estimates for the Biharmonic Equation in Plane Polars with Applications to Plane Elasticity ⋮ Unnamed Item ⋮ Spatial stability of non-steady Stokes flow along a pipe ⋮ Some alternative results for the nonlinear viscoelasticity equations ⋮ A Phragmén-Lindelöf alternative result for the Navier-Stokes equations for steady compressible viscous flow ⋮ Saint-Venant decay rates for an inhomogeneous isotropic linear thermoelastic strip ⋮ On Saint-Venant's principle for a homogeneous elastic arch-like region ⋮ On Saint-Venant's Principle for an Inhomogeneous Curvilinear Rectangle ⋮ On a new method for the study of the spatial behavior in a homogeneous elastic arch-like region ⋮ Convexity considerations and spatial behavior for the harmonic vibrations in thermoelastic plates

Cites Work

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• An energy estimate for the biharmonic equation and its application to Saint-Venant's principle in plane elastostatics
• Some convexity considerations for a two-dimensional traction problem
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
• Recent Developments Concerning Saint-Venant's Principle
• Energy estimates for the biharmonic equation in three dimensions
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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