On representation formula for solutions of Hamilton–Jacobi equations for unbounded initial conditions by Gintautas Gudynas

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Coercive Hamilton–Jacobi equations in domains: the twin blow-ups method by Forcadel, Nicolas, Imbert, Cyril, Monneau, Régis

“…In this note, we consider an evolution coercive Hamilton–Jacobi equation posed in a domain and supplemented with a boundary condition. …”
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Weak KAM Solutions of a Discrete-Time Hamilton-Jacobi Equation in a Minimax Framework by Porfirio Toledo

“…The purpose of this paper is to study the existence of solutions of a Hamilton-Jacobi equation in a minimax discrete-time case and to show different characterizations for a real number called the critical value, which plays a central role in this work. …”
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Evaluating a distance function by Abgrall, Rémi

Subjects: “…Hamilton jacobi equation…”
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Models for information propagation on graphs by Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser

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Hamilton-Jacobi Method for Mechanical Systems on Time Scales by Xiang-Hua Zhai, Yi Zhang

“…By choosing an appropriate generating function, we construct the Hamilton-Jacobi equation on time scales and prove the Jacobi theorem on time scales. …”
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Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation by Shu-Zheng Yang, Kai Lin, Jin Li, Qing-Quan Jiang

“…We also use semiclassical approximation method to get correctional Hamilton-Jacobi equation, so that the correctional Hawking temperature and correctional black hole’s entropy are derived.…”
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Covariant Hamilton–Jacobi Formulation of Electrodynamics via Polysymplectic Reduction and Its Relation to the Canonical Hamilton–Jacobi Theory by Cecile Barbachoux, Monika E. Pietrzyk, Igor V. Kanatchikov, Valery A. Kholodnyi, Joseph Kouneiher

“…It is also demonstrated that the canonical Hamilton–Jacobi equation in variational derivatives and the Gauss law constraint are derived from the covariant De Donder–Weyl Hamilton–Jacobi formulation after space + time decomposition.…”
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Modified Fermions Tunneling Radiation from Nonstationary, Axially Symmetric Kerr Black Hole by Jin Pu, Kai Lin, Xiao-Tao Zu, Shu-Zheng Yang

“…Based on the motion equation, the modified Hamilton-Jacobi equation has been obtained by a semiclassical approximation method. …”
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Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ by Matthew J. Blacker, Nele Callebaut, Blanca Hergueta, Sirui Ning

“…We make use of the canonical perspective to construct the rotating BTZ solution from the Hamilton-Jacobi equation, with a finite cut-off energy spectrum that has a known holographic T T ¯ $$ T\overline{T} $$ interpretation, as well as semi-classical Wheeler-DeWitt states for that solution.…”
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Energy-Efficient Route Planning Method for Ships Based on Level Set by Jiejian Zhu, Haiqing Shen, Qiangrong Tang, Zhong Qin, Yalei Yu

“…The level set curve is then evolved by integrating the flow environment and energy consumption gradient, solving the Hamilton–Jacobi equation with energy consumption parameters. …”
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