Results 31 to 40 of about 1,473,150 (249)
Hamilton-Jacobi Equations on Graph and Applications [PDF]
Potential Analysis, 2017 This paper introduces a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main application, the hypercontractivity of this class of infimal-convolution operators is connected to some discrete version of the log-Sobolev inequality ...
openaire +4 more sources
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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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 Method for Mechanical Systems on Time Scales
Complexity, 2018 This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
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Optimal control of the propagation of a graph in inhomogeneous media [PDF]
, 2009 We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Deckelnick, Klaus +5 more
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A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations
, 2016 It is well-known that the solution of Hamilton-Jacobi equation may have singularity i.e., the solution is non-smooth or nearly non-smooth. We construct a frozen Jacobian multi-step iterative method for solving Hamilton-Jacobi equation under the ...
Younas, Arshad M. M. +11 more
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A direct approach to linear-quadratic stochastic control [PDF]
Opuscula Mathematica, 2017 A direct approach is used to solve some linear-quadratic stochastic control problems for Brownian motion and other noise processes. This direct method does not require solving Hamilton-Jacobi-Bellman partial differential equations or backward stochastic ...
Tyrone E. Duncan, Bozenna Pasik-Duncan
doaj +1 more source
The Dual Hamilton–Jacobi Equation and the Poincaré Inequality
MathematicsFollowing the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He +3 more
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Hypercontractivity of solutions to Hamilton-Jacobi equations [PDF]
, 1990 summary:We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity ...
G Da Prato +4 more
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