Results 41 to 50 of about 82,726 (225)
Bounded-From-Below Solutions of the Hamilton-Jacobi Equation for Optimal Control Problems with Exit Times: Vanishing Lagrangians, Eikonal Equations, and Shape-From-Shading [PDF]
, 2003 We study the Hamilton-Jacobi equation for undiscounted exit time control problems with general nonnegative Lagrangians using the dynamic programming approach.
Malisoff, Michael
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A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics
MathematicsIn this paper, we propose a discrete Hamilton–Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton–Jacobi theory for continuous contact Hamiltonian dynamics ...
Oğul Esen +2 more
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Hamilton-Jacobi theory in multisymplectic classical field theories [PDF]
, 2015 The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories.
de León, Manuel +3 more
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Discrete Hamilton-Jacobi Theory
, 2011 We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time.
Anthony M. Bloch +3 more
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Solving the Hamilton-Jacobi equation for general relativity. [PDF]
Physical Review D, Particles and fields, 1993 We demonstrate a systematic method for solving the Hamilton-Jacobi equation for general relativity with the inclusion of matter fields. The generating functional is expanded in a series of spatial gradients.
Parry, Salopek, Stewart
semanticscholar +1 more source
Advances in High Energy Physics, 2013 The equivalence postulate of quantum mechanics offers an axiomatic approach to quantum field theories and quantum gravity. The equivalence hypothesis can be viewed as adaptation of the classical Hamilton-Jacobi formalism to quantum mechanics.
Alon E. Faraggi
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The representation formula for solutions of some class Hamilton–Jacobi equations
Lietuvos Matematikos Rinkinys, 2011 The lower semicontinious solutions of Hamilton–Jacobi equation are contructed by Hopf formula, when hamiltonian is maximum of linear functions.
Gintautas Gudynas
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Covariant GUP Deformed Hamilton-Jacobi Method
Advances in High Energy Physics, 2017 We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
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A Hamilton-Jacobi Equation for the Continuum Limit of Nondominated Sorting [PDF]
SIAM Journal on Mathematical Analysis, 2013 We show that nondominated sorting of a sequence $X_1,\dots,X_n$ of independent and identically distributed random variables in $\mathbb{R}^d$ has a continuum limit that corresponds to solving a Hamilton--Jacobi equation involving the probability density ...
J. Calder, S. Esedoglu, A. Hero
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MathematicsThe covariant Hamilton–Jacobi formulation of electrodynamics is systematically derived from the first-order (Palatini-like) Lagrangian. This derivation utilizes the De Donder–Weyl covariant Hamiltonian formalism with constraints incroporating generalized
Cecile Barbachoux +4 more
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