Results 91 to 100 of about 1,473,150 (249)
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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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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Hamilton-Jacobi equations on networks [PDF]
, 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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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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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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, 2023 openWe consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to
CAMPEDELLI, GAIA
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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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On the Hamilton-Jacobi-Bellman equations
, 1983 We consider general problems of optimal stochastic control and the associated Hamilton-Jacobi-Bellman equations. We recall first the usual derivation of the Hamilton-Jacobi-Bellman equations from the Dynamic Programming Principle.
Lions, Pierre-Louis
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Dispersionless Hirota Equations of Two-Component BKP Hierarchy
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function.
Kanehisa Takasaki
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Some Problems on the Hamilton-Jacobi Equation [PDF]
, 1987 I shall devote attention to some old, but still open, problems on the Hamilton-Jacobi equation reviewing the context in which they arise.
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