Results 141 to 150 of about 10,247 (176)

3-geometries and the Hamilton–Jacobi equation

Journal of Mathematical Physics, 2004
In the first part of this work we show that on the space of solutions of a certain class of systems of three second-order PDE’s, uαα=Υ(α,β,u,uα,uβ), uββ=Ψ(α,β,u,uα,uβ) and uαβ=Ω(α,β,u,uα,uβ), a three-dimensional definite or indefinite metric, gab, can be constructed such that the three-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds ...
García-Godínez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto   +2 more
openaire   +2 more sources

R-separation for the Hamilton?Jacobi equation

Letters in Mathematical Physics, 1982
We present a non-trivial example of the occurrence of R-separation for the Hamilton—Jacobi equation on a complex Riemannian manifold. In our example the R-separation functions depends on a free parameter, this gives rise to a one-parameter family of R-separable solutions of the corresponding Helmholtz equation.
Kalnins, E. G., Reid, G. J.
openaire   +2 more sources

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

On the extension of the solutions of Hamilton–Jacobi equations

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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

Hamilton-Jacobi equations

2012
unknown ...
openaire   +2 more sources

Quantization and the Classical Hamilton-Jacobi Equation

Physical Review, 1962
In this paper, a formalism for quantization is developed which starts out from the Hamilton-Jacobi expression, $\frac{\ensuremath{\partial}S}{\ensuremath{\partial}t}+H(\frac{\ensuremath{\partial}S}{\ensuremath{\partial}q}, q)$, and which leads to its usual quantum-mechanical operator equivalent by means of straightforward algebra.
openaire   +2 more sources

Hamilton–Jacobi Equations

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

Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)

Symmetry, 2020
V V Obukhov
exaly  

Extending the Parisi formula along a Hamilton-Jacobi equation

Electronic Journal of Probability, 2020
Jean-Christophe Mourrat, Dmitry Panchenko   +1 more
exaly