Results 101 to 110 of about 40,007 (203)

Regularity theory for Hamilton–Jacobi equations

open access: yesJournal 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 ...
openaire   +2 more sources

SOLUTION OF HARMONIC OSCILLATOR OF NONLINEAR MASTER SCHRÖDINGER

open access: yesJurnal Fisika, 2012
We have computed the solution of a nonrelativistic particle motion in a harmonic oscillator potential of the nonlinear master Schrödinger equation. The equation itself is based on two classical conservation laws, the Hamilton-Jacobi and the continuity ...
T B Prayitno
doaj  

Homogenization of pathwise Hamilton–Jacobi equations

open access: yesJournal de Mathématiques Pures et Appliquées, 2018
We present qualitative and quantitative homogenization results for pathwise Hamilton-Jacobi equations with "rough" multiplicative driving signals. When there is only one such signal and the Hamiltonian is convex, we show that the equation, as well as equations with smooth approximating paths, homogenize. In the multi-signal setting, we demonstrate that
openaire   +3 more sources

Viscosity solutions of two classes of coupled Hamilton-Jacobi-Bellman equations

open access: yesJournal of Inequalities and Applications, 2001
This paper studies viscosity solutions of two sets of linearly coupled Hamilton-Jacobi-Bellman (HJB) equations (one for finite horizon and the other one for infinite horizon) which arise in the optimal control of nonlinear piecewise deterministic ...
Başar Tamer, Xiao Mingqing
doaj  

Ordered upwind methods for static Hamilton-Jacobi equations. [PDF]

open access: yesProc Natl Acad Sci U S A, 2001
Sethian JA, Vladimirsky A.
europepmc   +1 more source

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