Results 31 to 40 of about 114,514,341 (131)
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
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Derivation of the Schrödinger equation from the Hamilton–Jacobi equation in Feynman's path integral formulation of quantum mechanics [PDF]
European Journal of Physics, 2010 It is shown how the time-dependent Schrödinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrödinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi ...
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, 2022 It is well known that, by taking a limit of Schrödinger’s equation, we may recover Hamilton-Jacobi’s equation which governs one of the possible formulations of classical mechanics. Conversely, we may start from the Hamilton-Jacobi’s equation and, by using a lifting principle, we may reach a set of nonlinear generalized Schrödinger’s equations.
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Stochastic homogenization of non-local Hamilton-Jacobi equations
, 2016 We study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities.
Hajej, Ahmed
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Idempotent structures in optimization [PDF]
, 2001 Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Optimal control of the propagation of a graph in inhomogeneous media [PDF]
, 2009 We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Deckelnick, Klaus +5 more
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A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations
, 2016 It is well-known that the solution of Hamilton-Jacobi equation may have singularity i.e., the solution is non-smooth or nearly non-smooth. We construct a frozen Jacobian multi-step iterative method for solving Hamilton-Jacobi equation under the ...
Younas, Arshad M. M. +11 more
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, 2008 In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation. The proposed formalism is also valid for nonholonomic systems. We first introduce the essential geometric ingredients: a vector bundle, a linear almost Poisson structure and a Hamiltonian function, both on the dual bundle (a Hamiltonian system).
de Leon, Manuel +2 more
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Hypercontractivity of solutions to Hamilton-Jacobi equations [PDF]
, 1990 summary:We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity ...
G Da Prato +4 more
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Differential Galois Theory and Hopf Algebras for Lie Pseudogroups
AxiomsAccording to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
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