Decay estimates for second-order quasilinear partial differential equations

DOI10.1016/0196-8858(84)90012-5zbMath0556.35053OpenAlexW2085787295MaRDI QIDQ761643

Cornelius O. Horgan, Lawrence E. Payne

Publication date: 1984

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(84)90012-5

zbMATH Keywords

Dirichlet problemnonlinear elasticityNeumann problemsdifferential inequality techniquessecond-order quasilinear equationsexponential decay estimatescompressible fluid flowsSaint- Venant principlestheorems of Phragmén-Lindelöf type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Saint-Venant's principle (74G50) Partial differential inequalities and systems of partial differential inequalities (35R45) A priori estimates in context of PDEs (35B45)

Related Items (19)

Phragmen-Lindelöf type results for second order quasilinear parabolic equations in \(\mathbb{R}^ 2\) ⋮ Phragmén-Lindelöf decay theorems for classes of nonlinear Dirichlet problems in a circular cylinder ⋮ Spatial Decay Estimates for a Class of Second-Order Quasilinear Elliptic Partial Differential Equations Arising in Anisotropic Nonlinear Elasticity ⋮ Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature ⋮ Spatial decay estimates for second order partial differential equations ⋮ Decay rates of Saint-Venant type for functionally graded heat-conducting materials ⋮ On the spatial decay of the energy for some quasilinear boundary value problems in semi-infinite cylinders ⋮ Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder ⋮ On the Saint-Venant principle in the case of infinite energy ⋮ On Saint-Venant's principle in finite anti-plane shear: An energy approach ⋮ Saint-Venant decay rates for an anisotropic and non-homogeneous mixture of elastic solids in anti-plane shear ⋮ Decay theorems for nonlinear Dirichlet problems in semi-infinite cylinders ⋮ Decay estimates for a class of second-order quasilinear equations in three dimensions ⋮ On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip ⋮ An exponential decay estimate for the stationary axisymmetric perturbation of Poiseuille flow in a circular pipe ⋮ Spatial decay theorems for nonlinear parabolic equations in semi-infinite cylinders ⋮ A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder

Cites Work

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• Exponential decay estimates for a class of nonlinear Dirichlet problems
• The effect of nonlinearity on a principle of Saint-Venant type
• A note on the spatial decay of a minimal surface over a semi-infinite strip
• Exponential decay estimates for second-order quasi-linear elliptic equations
• Phragmen-Lindelöf theorems for some non-linear elliptic partial differential equations
• The rate of decay of a minimal surface defined over a semiinfinite strip
• Analytical Theory of Subsonic and Supersonic Flows
• Recent Developments Concerning Saint-Venant's Principle
• Finite anti-plane shear of a semi-infinite strip subject to a self-equilibrated end traction

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