Results 1 to 10 of about 1,550,223 (212)
Resurgence in a Hamilton-Jacobi equation [PDF]
Annales de l'Institut Fourier, 2003 We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution ...
Olivé, Carme +2 more
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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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Lagrangian submanifolds and the Hamilton–Jacobi equation [PDF]
Monatshefte Fur Mathematik, 2013 The authors present a generalized version of the geometric Hamilton-Jacobi theory in terms of certain Lagrangian submanifolds of a symplectic manifold. This allows them to give a unified presentation of Hamilton-Jacobi equations for systems with both holonomic and linear nonholonomic constraints. The formulation treats both the time-independent and the
Maria Barbero Linan +2 more
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Dynamic programming principle for backward doubly stochastic recursive optimal control problem and sobolev weak solution of the stochastic Hamilton-Jacobi-Bellman equation [PDF]
Fundamental ResearchIn this paper, we investigate a backward doubly stochastic recursive optimal control problem wherein the cost function is expressed as the solution to a backward doubly stochastic differential equation.
Yunhong Li +3 more
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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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Evaluation of the Feynman Propagator by Means of the Quantum Hamilton-Jacobi Equation
Quanta, 2023 It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton–Jacobi equation, namely, it is the quantum Hamilton's principal function (or quantum action).
Mario Fusco Girard
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Hamilton Jacobi Equations with Obstacles [PDF]
Archive for Rational Mechanics and Analysis, 2010 We consider a problem in the theory of optimal control proposed for the first time by Bressan. We characterize the associated minimum time function using tools from geometric measure theory and we obtain, as a corollary, an existence theorem for a related variational problem.
De Lellis, Camillo, Robyr, R
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Symmetries of the Hamilton-Jacobi equation [PDF]
Компьютерные исследования и моделирование, 2012 The notion of symmetry transformations of the Hamilton-Jacobi equation. For the group of symmetries is shown how to be associated with the Hamiltonian function coefficients of the infinitesimal operator of the group.
Gennadii Nikolaevich Yakovenko
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Separability in consistent truncations
Journal of High Energy Physics, 2021 The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics of consistent ...
Krzysztof Pilch +2 more
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The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
Mathematics, 2021 The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León +2 more
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