Results 11 to 20 of about 9,739 (169)
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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The Quantum Hamilton–Jacobi Equation and the Link Between Classical and Quantum Mechanics
Quanta, 2022 We study how the classical Hamilton's principal and characteristic functions are generated from the solutions of the quantum Hamilton–Jacobi equation.
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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On controlled Hamilton and Hamilton–Jacobi differential equations of higher-order
Scientific Reports, 2022 In this paper, we investigate the nonlinear dynamics associated with controlled Lagrangians involving higher-order derivatives. More precisely, we establish the controlled higher-order Hamilton ordinary differential equations (ODEs) and Hamilton–Jacobi ...
Savin Treanţă +2 more
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Hamilton–Jacobi equations on an evolving surface [PDF]
Mathematics of Computation, 2019 We consider the well-posedness and numerical approximation of a Hamilton--Jacobi equation on an evolving hypersurface in $\mathbb R^3$. Definitions of viscosity sub- and supersolutions are extended in a natural way to evolving hypersurfaces and provide uniqueness by comparison. An explicit in time monotone numerical approximation is derived on evolving
Klaus Deckelnick +3 more
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THE HAMILTON–JACOBI EQUATION ON LIE AFFGEBROIDS [PDF]
International Journal of Geometric Methods in Modern Physics, 2006 The Hamilton–Jacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed.
Marrero, J. C., Sosa, D.
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Hamilton-Jacobi Equations with State Constraints [PDF]
Transactions of the American Mathematical Society, 1990 In the present paper we consider Hamilton-Jacobi equations of the form H ( x , u
CAPUZZO DOLCETTA, Italo, P. L. Lions
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, 2022 S.97-128We consider a semi-Lagrangian approach for the computation of the value function of a Hamilton-Jacobi-Bellman equation. This problem arises when one solves optimal feedback control problems for evolutionary partial differential equations.
Kalmykov, Ilja, Garcke, Jochen
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]
, 2004 We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +10 more
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Construction of convergent adaptive weighted essentially non-oscillatory schemes for Hamilton-Jacobi equations on triangular meshes [PDF]
, 2021 summary:We propose a method of constructing convergent high order schemes for Hamilton-Jacobi equations on triangular meshes, which is based on combining a high order scheme with a first order monotone scheme.
Hong, Unhyok +3 more
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