Results 91 to 100 of about 9,739 (169)
Representation Formula for Solutions of Eikonal Type Equations
Nonlinear Analysis, 2001 Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
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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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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
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Maximum Principle for Boundary Control Problems Arising in Optimal Investment with Vintage Capital [PDF]
The paper concerns the study of the Pontryagin Maximum Principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations.
Silvia Faggian
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Envelopes and nonconvex Hamilton–Jacobi equations [PDF]
Calculus of Variations and Partial Differential Equations, 2013 The author derives a new representation formula for viscosity solutions of nonconvex Hamilton-Jacobi PDEs given by \[ \begin{cases} u_{t}(x,t)+H(Du(x,t)) =0, &(x,t)\in \mathbb{R}^{n}\times (0,+\infty)\\ u(x,0) =g(x), &x\in \mathbb{R}^{n}, \end{cases} \] where \( H:\mathbb{R}^{n}\rightarrow \mathbb{R} \) is a smooth nonconvex Hamiltonian and \( g ...
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Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
Electronic Journal of Differential Equations, 2003 We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A Hopf-type formula for global Lipschitz solutions and estimates for viscosity solutions of this problem are obtained using techniques of multifunctions ...
Nguyen Huu Tho, Tran Duc Van
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Massive vector particles tunneling from Kerr and Kerr–Newman black holes
Physics Letters B, 2015 In this paper, we investigate the Hawking radiation of massive spin-1 particles from 4-dimensional Kerr and Kerr–Newman black holes. By applying the Hamilton–Jacobi ansatz and the WKB approximation to the field equations of the massive bosons in Kerr and
Xiang-Qian Li, Ge-Rui Chen
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Parabolic perturbations of Hamilton–Jacobi equations [PDF]
Fundamenta Mathematicae, 1998 Summary: We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.
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Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio +1 more
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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