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Hamilton-Jacobi equations for nonholonomic dynamics [PDF]
Journal of Mathematical Physics, 2005 We derive generalized Hamilton–Jacobi equations for dynamical systems subject to linear velocity constraints. As long as a solution of the generalized Hamilton–Jacobi equation exists, the action is actually minimized (not just extremized)
Michele Pavon, PAVON, MICHELE
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Relaxation of Hamilton-Jacobi equations
Archive for Rational Mechanics and Analysis, 2003 We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the following phenomenon: the pointwise supremum over a certain collection of subsolutions, in the almost everywhere sense, of a Hamilton-Jacobi equation yields a ...
LORETI, Paola, Hitoshi Ishii
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Hypercontractivity of Hamilton–Jacobi equations
Journal de Mathématiques Pures et Appliquées, 2001 Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity showed by L. Gross, we prove that logarithmic Sobolev inequalities are related similarly to hypercontractivity of solutions of Hamilton–Jacobi equations.
Bobkov, Sergey G +2 more
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Hypercontractivity of solutions to Hamilton-Jacobi equations [PDF]
Czechoslovak Mathematical Journal, 1990 summary:We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity ...
G Da Prato +4 more
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Hamilton–Jacobi–Bellman Equations
, 2017 International audienceIn this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in ...
Picarelli A. +23 more
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Analytic solutions for Hamilton-Jacobi-Bellman equations [PDF]
Electronic Journal of Differential Equations, 2017 Closed form solutions are found for a particular class of Hamilton-Jacobi-Bellman equations emerging from a differential game among firms competing over quantities in a simultaneous oligopoly framework.
Arsen Palestini
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Regularity of perturbed Hamilton-Jacobi equations
Nonlinear Analysis: Theory, Methods & Applications, 2002 Regularity of perturbed Hamilton-Jacobi equations was studied. Functions in Burch class are semiconcave and satisfy a Lipschtiz condition and their second centered difference quotients are bounded above.
Goldstein, Jerome A., Soeharyadi, Yudi
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Hamilton–Jacobi equations [PDF]
, 2010 In this chapter we discuss numerical methods for the solution of general Hamilton-Jacobi equations of the form $${\phi _t} + H\left( {\nabla \phi } \right) = 0$$ (5.1) where H can be a function of both space and time. In three spatial dimensions, we can write $${\phi _t} + H\left( {{\phi _x},{\phi _y},{\phi _z}} \right) = 0$$ (5.2 ...
Stanley Osher, Ronald Fedkiw
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Existence of solutions to contact mean-field games of first order
Advanced Nonlinear Studies, 2022 This paper deals with the existence of solutions of a class of contact mean-field game systems of first order consisting of a contact Hamilton-Jacobi equation and a continuity equation.
Hu Xiaotian, Wang Kaizhi
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Symmetries of the Hamilton–Jacobi equation [PDF]
Journal of Mathematical Physics, 1977 We present a detailed discussion of the infinit esimal symmetries of the Hamilton-Jacobi equation (an arbitrary first order partial equation) Our presentation clucidates the role played by the characteristic system in determining the symmetries. We then specialize to the case of a free particle in one space and one time dimension, and study of local ...
Boyer, C.P., Kalnins, Ernie G.
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