Derivation of the Aronsson equation for $C^1$ Hamiltonians
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Publication:3600631
DOI10.1090/S0002-9947-08-04651-5zbMath1161.49020MaRDI QIDQ3600631
Changyou Wang, Yifeng Yu, Michael G. Crandall
Publication date: 5 February 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Optimality conditions for problems involving partial differential equations (49K20) Degenerate elliptic equations (35J70) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
Related Items (15)
Viscosity solutions to inhomogeneous Aronsson's equations involving Hamiltonians \(\langle A(x)p,p\rangle \) ⋮ A Quantitative Sobolev Regularity for Absolute Minimizers Involving Hamiltonian $H({p})$ in Plane ⋮ The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces ⋮ \(L ^{\infty }\) variational problems with running costs and constraints ⋮ \(L^{\infty }\) variational problems for maps and the Aronsson PDE system ⋮ Existence, uniqueness and structure of second order absolute minimisers ⋮ Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian \(H(p) \in C^{1, 1}(\mathbb{R}^n)\) with \(n \geq 3\) ⋮ Regularity of absolute minimizers for continuous convex Hamiltonians ⋮ Everywhere differentiability of viscosity solutions to a class of Aronsson's equations ⋮ Uniqueness of values of Aronsson operators and running costs in ``tug-of-war games ⋮ On Aronsson equation and deterministic optimal control ⋮ Convexity criteria and uniqueness of absolutely minimizing functions ⋮ Uniqueness and nonuniqueness of viscosity solutions to Aronsson's equation ⋮ Aronsson's equations on Carnot-Carathéodory spaces ⋮ A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation
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