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Hamilton–Jacobi equations
, 2001
"... Variational optimisation by the solution of a series of Hamilton–Jacobi equations ..."
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Variational optimisation by the solution of a series of Hamilton–Jacobi equations
Resurgence in a HamiltonJacobi Equation
, 2002
"... We study the resurgent structure associated with a HamiltonJacobi equation. ..."
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Cited by 15 (9 self)
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We study the resurgent structure associated with a HamiltonJacobi equation.
The stochastic HamiltonJacobi equation
, 2008
"... We extend some aspects of the HamiltonJacobi theory to the category of stochastic Hamiltonian dynamical systems. More specifically, we show that the stochastic action satisfies the HamiltonJacobi equation when, as in the classical situation, it is written as a function of the configuration space u ..."
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Cited by 4 (0 self)
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We extend some aspects of the HamiltonJacobi theory to the category of stochastic Hamiltonian dynamical systems. More specifically, we show that the stochastic action satisfies the HamiltonJacobi equation when, as in the classical situation, it is written as a function of the configuration space
Solutions of the HamiltonJacobi Equation ∗
, 1999
"... We discuss a new relation between the low lying Schroedinger wave function of a particle in a onedimentional potential V and the solution of the corresponding HamiltonJacobi equation with −V as its potential. The function V is ≥ 0, and can have several minina (V = 0). We assume the problem to be c ..."
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We discuss a new relation between the low lying Schroedinger wave function of a particle in a onedimentional potential V and the solution of the corresponding HamiltonJacobi equation with −V as its potential. The function V is ≥ 0, and can have several minina (V = 0). We assume the problem
Hypercontractivity Of HamiltonJacobi Equations
 J. Math. Pures Appl
, 2000
"... .  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 HamiltonJacobi equations. By the infimumconvolution description of the Hamilt ..."
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Cited by 124 (19 self)
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.  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 HamiltonJacobi equations. By the infimumconvolution description
Regularity Theory For HamiltonJacobi Equations
 J. Di. Eqn
, 2002
"... The objective of this paper is to discuss the regularity of viscosity solutions of time independent HamiltonJacobi Equations. ..."
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Cited by 6 (2 self)
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The objective of this paper is to discuss the regularity of viscosity solutions of time independent HamiltonJacobi Equations.
THE HAMILTONJACOBI EQUATION ON LIE AFFGEBROIDS
, 2005
"... Abstract. The HamiltonJacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed. 1. ..."
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Cited by 4 (3 self)
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Abstract. The HamiltonJacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed. 1.
On viscosity solutions of HamiltonJacobi equations
"... Abstract. We consider the Dirichlet problem for HamiltonJacobi equations and prove existence, uniqueness and continuous dependence on boundary data of Lipschitz continuous maximal viscosity solutions. 1. ..."
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Cited by 1 (0 self)
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Abstract. We consider the Dirichlet problem for HamiltonJacobi equations and prove existence, uniqueness and continuous dependence on boundary data of Lipschitz continuous maximal viscosity solutions. 1.
Consider a HamiltonJacobi equation:
, 2005
"... Abstract. We study an homogenization problem for HamiltonJacobi equations in the geometry of Carnot Groups. The tiling and the corresponding notion of periodicity are compatible with the dilatations of the Group and use the Lie bracket generating property. ..."
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Abstract. We study an homogenization problem for HamiltonJacobi equations in the geometry of Carnot Groups. The tiling and the corresponding notion of periodicity are compatible with the dilatations of the Group and use the Lie bracket generating property.
BEAM DYNAMICS WITH THE HAMILTONJACOBI EQUATION*
, 1989
"... We describe a nonperturbative method to solve the HamiltonJacobi equation for invariant surfaces in phase space. The problem is formulated in actionangle variables with a general nonlinear perturbation. The solution of the HamiltonJacobi equation is regarded as the fixed point of a map on the Fo ..."
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We describe a nonperturbative method to solve the HamiltonJacobi equation for invariant surfaces in phase space. The problem is formulated in actionangle variables with a general nonlinear perturbation. The solution of the HamiltonJacobi equation is regarded as the fixed point of a map
Results 1  10
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