Results 51 to 60 of about 1,005 (161)

An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

Electronic Journal of Differential Equations, 2019
In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
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Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes

Physical Review Research
We discuss time-optimal control problems for two setups involving globally driven Rydberg atoms in the blockade limit by deriving the associated Hamilton-Jacobi-Bellman equations. From these equations, we extract the globally optimal trajectories and the
Charles Fromonteil, Roberto Tricarico, Francesco Cesa, Hannes Pichler   +3 more
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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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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.
openaire   +2 more sources

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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Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces

Electronic Journal of Differential Equations, 2006
In this paper we prove the existence and uniqueness of viscosity solutions of the Cauchy problem for the second order nonlinear partial differential equations in Hilbert spaces.
Tran Van Bang, Tran Duc Van
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Coercive Hamilton–Jacobi equations in domains: the twin blow-ups method

Comptes Rendus. Mathématique
In 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, Imbert, Cyril, Monneau, Régis   +2 more
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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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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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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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