Results 181 to 190 of about 82,726 (225)

On the Geometry of the Hamilton–Jacobi Equation and Generating Functions

, 2016
In this paper we develop a geometric version of the Hamilton–Jacobi equation in the Poisson setting. Specifically, we “geometrize” what is usually called a complete solution of the Hamilton–Jacobi equation. We use some well-known results about symplectic
Sebastián J. Ferraro, M. León, J. Marrero, D. Martín de Diego, M. Vaquero   +4 more
semanticscholar   +1 more source

Relaxation of Hamilton-Jacobi Equations

Archive for Rational Mechanics and Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hitoshi Ishii, LORETI, Paola
openaire   +1 more source

Stochastic Hamilton–Jacobi–Bellman Equations

SIAM Journal on Control and Optimization, 1992
Summary: This paper studies the following form of nonlinear stochastic partial differential equation: \[ \begin{multlined} -d\Phi_ t=\inf_{v\in U}\left\{\frac12 \sum_{i,j}[\sigma\sigma^*]_{ij}(x,v,t)\partial_{x_ ix_ j}\Phi_ t(x)+\sum_ i b_ i(x,v,t)\partial_{x_ i}\Phi_ t(x)+L(x,v,t)+\right. \\ \left.+\sum_{i,j}\sigma_{ij}(x,v,t)\partial _{x_ i}\Psi_{j,t}
openaire   +1 more source

Regularity of perturbed Hamilton–Jacobi equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
The Hamilton-Jacobi equations \[ \begin{cases} u_t+ F(\nabla u)= 0,\quad & x\in\mathbb{R}^N,\;t\geq 0,\\ u(x,0)= u_0(x),\quad & x\in\mathbb{R}^N,\end{cases}\tag{1} \] where \(\nabla\) is the spatial gradient, \(F\in C^2(\mathbb{R}^N)\) is weakly convex and normalized to satisfy \(F(0)= 0\), and all functions are real valued, is considered. The operator
Goldstein, Jerome A., Soeharyadi, Yudi
openaire   +2 more sources

Hamilton-Jacobi equations

2012
unknown ...
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The Hamilton–Jacobi equation

2020
Abstract This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid.
Gleb L. Kotkin, Valeriy G. Serbo
openaire   +1 more source

Homogenization for¶Stochastic Hamilton-Jacobi Equations

Archive for Rational Mechanics and Analysis, 2000
Homogenization results for the Hamilton-Jacobi equation \[ \partial_{t}u^\varepsilon + H({x\over\varepsilon},Du^\varepsilon, \omega) = 0 \;\text{in \(\mathbb{R}^{d}\times \left]0,\infty\right[\)}, \quad u^\varepsilon(0,\cdot) = g \;\text{on \(\mathbb{R}^{d}\)}, \tag{1} \] with a random Hamiltonian \(H\) are studied. Let \((\tau_{x}, x\in \mathbb{R}^{d})
Rezakhanlou, Fraydoun, Tarver, James E.
openaire   +1 more source

The Fractional Hamilton-Jacobi-Bellman Equation

Journal of Applied Nonlinear Dynamics, 2017
Summary: In this paper we initiate the rigorous analysis of controlled Continuous Time Random Walks (CTRWs) and their scaling limits, which paves the way to the real application of the research on CTRWs, anomalous diffusion and related processes. For the first time the convergence is proved for payoff functions of controlled scaled CTRWs and their ...
Veretennikova, M., Kolokoltsov, V.
openaire   +2 more sources

Hamilton–Jacobi Equations

2023
Mi-Ho Giga, Yoshikazu Giga
openaire   +1 more source

Extended Hamilton–Jacobi Equation

2009
In the context of the extended canonical transformation theory, we may derive an extended version of the Hamilton–Jacobi equation.
openaire   +1 more source