Long-time behavior of solutions to Hamilton-Jacobi equations with quadratic gradient term

DOI10.1007/S00030-009-0034-9zbMath1180.35105OpenAlexW1994376314MaRDI QIDQ1049602

Yasuhiro Fujita, Paola Loreti

Publication date: 13 January 2010

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

Full work available at URL: https://doi.org/10.1007/s00030-009-0034-9

zbMATH Keywords

rates of convergenceviscosity solutionssemiconvexity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (5)

A PDE Approach to Large-Time Asymptotics for Boundary-Value Problems for Nonconvex Hamilton–Jacobi Equations ⋮ Large time behavior of solutions of local and nonlocal nondegenerate Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator ⋮ Semiconvexity of Viscosity Solutions to Fully Nonlinear Evolution Equations via Discrete Games ⋮ A probabilistic approach to large time behaviour of viscosity solutions of parabolic equations with Neumann boundary conditions ⋮ A priori Lipschitz estimates for solutions of local and nonlocal Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator

Cites Work

• Unnamed Item
• Asymptotic solutions with slow convergence rate of Hamilton-Jacobi equations in Euclidean \(n\) space.
• Convex viscosity solutions and state constraints
• Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean \(n\) space
• Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations
• Asymptotic solutions of Hamilton-Jacobi equations in Euclidean $n$ space
• A Generalized Dynamical Approach to the Large Time Behavior of Solutions of Hamilton--Jacobi Equations
• User’s guide to viscosity solutions of second order partial differential equations
• Comportement asymptotique des solutions d'équations de Hamilton-Jacobi monodimensionnelles
• Sur la convergence du semi-groupe de Lax-Oleinik
• Remarks on the long time behaviour of the solutions of hamilton-jacobi equations
• Some counterexamples on the asymptotic behavior of the solutions of Hamilton–Jacobi equations
• On the Large Time Behavior of Solutions of Hamilton--Jacobi Equations
• Asymptotic Solutions of Viscous Hamilton–Jacobi Equations with Ornstein–Uhlenbeck Operator
• Convex Analysis
• Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations

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