Results 101 to 110 of about 3,553,452 (205)

The Dual Hamilton–Jacobi Equation and the Poincaré Inequality

Mathematics
Following 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, Wei Wang, Jianglin Fang, Yuanlin Li   +3 more
doaj   +1 more source

Bohm's potential, classical/quantum duality and repulsive gravity

Physics Letters B, 2019
We propose the notion of a classical/quantum duality in the gravitational case (it can be extended to other interactions). By this one means exchanging Bohm's quantum potential for the classical potential VQ↔V in the stationary quantum Hamilton–Jacobi ...
Carlos Castro Perelman
doaj   +1 more source

Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton–Jacobi equation

, 2003
If a Riemannian manifold admits a conformal Killing tensor whose torsion, in the sense of Nijenhuis, vanishes, and whose eigenfunctions are independent, then the Hamilton–Jacobi equation for its geodesics is solvable by separation of variables. The paper
M. Crampin
semanticscholar   +1 more source

"Ito's Lemma" and the Bellman equation for Poisson processes: An applied view [PDF]

Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables ...
Sennewald, Ken, Wälde, Klaus
core  

A stochastic control problem

Electronic Journal of Differential Equations, 2004
In this paper, we study a specific stochastic differential equation depending on a parameter and obtain a representation of its probability density function in terms of Jacobi Functions.
William Margulies, Dean Zes
doaj  

"Itô's Lemma" and the Bellman equation: An applied view [PDF]

Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables ...
Sennewald, Ken, Wälde, Klaus
core  

An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples

Examples and Counterexamples
We consider a Cauchy–Dirichlet problem for a semilinear advection–diffusion equation with a generalized advection term. Specific examples include an incision–diffusion landscape evolution model and a viscous Hamilton–Jacobi equation with an absorbing ...
Tetyana Malysheva, Luther W. White
doaj   +1 more source

Limit of the infinite horizon discounted Hamilton-Jacobi equation

, 2011
Motivated by the infinite horizon discounted problem, we study the convergence of solutions of the Hamilton Jacobi equation when the discount vanishes.
R. Iturriaga, H. Sánchez-Morgado
semanticscholar   +1 more source

Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation

Advances in High Energy Physics, 2016
Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics.
Shu-Zheng Yang, Kai Lin, Jin Li, Qing-Quan Jiang   +3 more
doaj   +1 more source

Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations

, 2000
We prove the uniqueness of the viscosity solution to the Hamilton-Jacobi equation associated with a Bolza problem of the Calculus of Variations, assuming that the Lagrangian is autonomous, continuous, superlinear, and satisfies the usual convexity ...
Frankowska, H., Maso, G. Dal
core