Results 11 to 20 of about 10,247 (176)
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.
Kalnins, Ernie G. +3 more
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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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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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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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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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Hypercontractivity of Hamilton–Jacobi equations
Journal de Mathématiques Pures et Appliquées, 2001 Using the equivalence of logarithmic Sobolev inequalities and hypercontractivity of the associated heat semigroup proved by \textit{L. Gross} [Am. J. Math. 97(1975), 1061--1083 (1976; Zbl 0318.46049)], the authors show that logarithmic Sobolev inequalities are similarly related to hypercontractivity of the solutions of Hamilton-Jacobi equations.
Bobkov, Sergey G +2 more
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Quantum Hamilton-Jacobi Equation [PDF]
Physical Review Letters, 1998 The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing ...
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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).
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