Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions

DOI10.1137/0520055zbMath0678.35027OpenAlexW2039303551MaRDI QIDQ3834395

Cornelius O. Horgan, Lawrence E. Payne

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520055

zbMATH Keywords

quasilinearexponential decaysecond orderhalf-planeLipschitz boundarysimply-connected domainDecay estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Saint-Venant's principle (74G50) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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On domain decomposition for elliptic systems ⋮ Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region ⋮ A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature ⋮ Spatial decay estimates for second order partial differential equations ⋮ 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 ⋮ Some remarks on the fast spatial growth/decay in exterior regions ⋮ Spatial Decay Estimates for the Biharmonic Equation in Plane Polars with Applications to Plane Elasticity ⋮ Some alternative results for the nonlinear viscoelasticity equations ⋮ On the Saint-Venant principle in the case of infinite energy ⋮ On Saint-Venant's principle in a poroelastic arch-like region ⋮ Saint-Venant's principle on unbounded regions ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions ⋮ Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction ⋮ On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip ⋮ Spatial decay theorems for nonlinear parabolic equations in semi-infinite cylinders

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