Results 61 to 70 of about 10,247 (176)
Coherent states, Schrödinger equation, and the Hamilton–Jacobi equation
, 1995 The self-adjoint form of the classical equation of motion of the harmonic oscillator is used to derive a Hamiltonian-like equation and the Schrödinger equation in quantum mechanics.
Rachad M. Shoucri
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The Feynman-Kac formula and the Hamilton-Jacobi equation
, 1989 By means of a theory of representations of canonical transformations we establish a connection between the Feynman-Kac formula and the Hamilton-Jacobi ...
Gzyl, Henryk
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Regularity theory for Hamilton–Jacobi equations
Journal of Differential Equations, 2003 The author studies the regularity and stability under small perturbations of viscosity solutions of Hamilton-Jacobi equations \(H(P+D_x u, x)=\overline{H}(P),\) where \(H(p,x):\mathbb{R}^{2n}\rightarrow \mathbb{R}\) is a strictly convex smooth Hamiltonian (\(D^{2}_{vv} L(x,v)>\gamma >0\) uniformly and coercive in \(p, \lim_{|p|\rightarrow\infty} \frac ...
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Beam dynamics with the Hamilton-Jacobi equation [PDF]
, 1989 We describe a non-perturbative method to solve the Hamilton-Jacobi equation for invariant surfaces in phase space. The problem is formulated in action-angle variables with a general nonlinear perturbation.
Gabella, W. E. +2 more
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Hamilton-Jacobi equations on networks
, 2011 There is a more recent version of this preprint with the different title: Hamilton-Jacobi equation constrained on networks. The link for this version is hal-00656919, v1International audienceWe consider continuous-state and continuous-time control ...
Yves Achdou +16 more
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Hamilton–Jacobi–Bellman Equation under States Constraints
, 2000 This paper is devoted to the uniqueness of discontinuous solutions to the Hamilton–Jacobi–Bellman (HJB) equation arising in Mayer's problem under state constraints.
Kim, Kyung-Eung
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The Hamilton-Jacobi Equation and Weak KAM Theory
, 2017 This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi.
Alfonso Sorrentino
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Metric Character for the Sub-Hamilton-Jacobi Obstacle Equation
, 2017 International audienceFor a given nonnegative continuous function $\mathfrak{g},$ we establish a new explicit formula of the distance related to the sub--Hamilton--Jacobi obstacle equation : $u\geq \mathfrak{g}$ and $H(x,\nabla u)=0$ in the set $[u ...
Noureddine Igbida, Igbida, Noureddine
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Convergence of the solutions of the discounted Hamilton–Jacobi equation
, 2016 International audienceWe consider a continuous coercive Hamiltonian H on the cotangent bundle of the compact connected manifold M which is convex in the momentum. If uλ:M→ℝ is the viscosity solution of the discounted equationλuλ(x)+H(x,dxuλ)=c(H),where c(
Fathi, Albert
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Some Problems on the Hamilton-Jacobi Equation [PDF]
, 1987 I shall devote attention to some old, but still open, problems on the Hamilton-Jacobi equation reviewing the context in which they arise.
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