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Explicit solution of some first-order PDE's

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Publication:1972743
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DOI10.1007/BF02465892zbMath0940.35049MaRDI QIDQ1972743

R. Jensen, Emmanuel Nicholas Barron, Wenxiong Liu

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)


zbMATH Keywords

Hopf-Lax formulaSubbotin minimax solution


Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear first-order PDEs (35F20) Solutions to PDEs in closed form (35C05)


Related Items

On the Hessian matrix and Minkowski addition of quasiconvex functions



Cites Work

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  • Viscosity solutions of Hamilton-Jacobi equations
  • Hopf-Lax-type formula for \(u_ t+ H(u, Du)=0\)
  • The Bellman equation for minimizing the maximum cost
  • Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
  • On Hopf's formulas for solutions of Hamilton-Jacobi equations
  • Viscosity Solutions of Hamilton-Jacobi Equations
  • Existence and uniqueness results for Hamilton-Jacobi equations
  • Mean Value Inequalities in Hilbert Space
  • Hope-lax type formular foru∞t+Hu,Du=0:II
  • Convex Analysis
  • On Quasi-Convex Duality
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