Results 61 to 70 of about 1,005 (161)
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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Morphological PDEs on Graphs for Image Processing on Surfaces and Point Clouds
ISPRS International Journal of Geo-Information, 2016 Partial Differential Equations (PDEs)-based morphology offers a wide range of continuous operators to address various image processing problems. Most of these operators are formulated as Hamilton–Jacobi equations or curve evolution level set and ...
Abderrahim Elmoataz +2 more
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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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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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SOLUTION OF HARMONIC OSCILLATOR OF NONLINEAR MASTER SCHRÖDINGER
Jurnal Fisika, 2012 We have computed the solution of a nonrelativistic particle motion in a harmonic oscillator potential of the nonlinear master Schrödinger equation. The equation itself is based on two classical conservation laws, the Hamilton-Jacobi and the continuity ...
T B Prayitno
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MathematicsThis paper is devoted to the study of stochastic optimal control of averaged stochastic differential delay equations (SDDEs) with semi-Markov switchings and their applications in economics.
Mariya Svishchuk, Anatoliy V. Swishchuk
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Regularity theory for Hamilton–Jacobi equations
Journal of Differential Equations, 2003 The author studies the regularity and stability under small perturbations of viscosity solutions of Hamilton-Jacobi equations \(H(P+D_x u, x)=\overline{H}(P),\) where \(H(p,x):\mathbb{R}^{2n}\rightarrow \mathbb{R}\) is a strictly convex smooth Hamiltonian (\(D^{2}_{vv} L(x,v)>\gamma >0\) uniformly and coercive in \(p, \lim_{|p|\rightarrow\infty} \frac ...
openaire +2 more sources