Results 91 to 100 of about 40,007 (203)
Coercive Hamilton–Jacobi equations in domains: the twin blow-ups method
Comptes Rendus. MathématiqueIn this note, we consider an evolution coercive Hamilton–Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison principle in the case where the time and the (normal) gradient variables are ...
Forcadel, Nicolas +2 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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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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Hamilton-Jacobi equation in momentum space
Optics Express, 2006 The application of the Hamilton-Jacobi equation to isotropic optical materials leads to the well-known eikonal equation which provides the surfaces normal to the ray trajectories. The symmetry between the coordinates x=(x(1),x(2),x(3)) and the momenta p=(p(1),p(2),p(3)) in the Hamiltonian formulation of Geometrical Optics establishes a dual Hamilton ...
Juan C, Miñano +2 more
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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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Известия Иркутского государственного университета: Серия "Математика", 2019 This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.
A.A. Kosov +2 more
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On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method
Abstract and Applied Analysis, 2014 Our concern in this paper is to use the homotopy decomposition method to solve the Hamilton-Jacobi-Bellman equation (HJB). The approach is obviously extremely well organized and is an influential procedure in obtaining the solutions of the equations.
Abdon Atangana +2 more
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Electronic Journal of Differential Equations, 2002 Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
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Uniqueness Results of Semilinear Parabolic Equations in Infinite-Dimensional Hilbert Spaces
MathematicsThis paper is devoted to the uniqueness of solutions for a class of nonhomogeneous stationary partial differential equations related to Hamilton–Jacobi-type equations in infinite-dimensional Hilbert spaces.
Carlo Bianca, Christian Dogbe
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