Results 111 to 120 of about 5,226,204 (223)

IMAGE COMPRESSION BASED ON IMPORTANCE USING OPTIMAL MASS TRANSPORTATION MAP. [PDF]

Proc Int Conf Image Proc, 2022
Li Z, An D, Feng Y, Gu X, Xu X, Zhang M.
europepmc   +1 more source

The Obstacle Problem for Monge-Ampère Equation

, 1997
We consider the obstacle problem for the degenerated Monge-Ampère equation. We prove the existence of the greatest viscosity sub-solution,and the C 1;1 -regularity. Then the solution satisfies the concave uniformly elliptic equation.
Ki-Ahm Lee
core  

Initial design with L2 Monge-Kantorovich theory for the Monge–Ampère equation method of freeform optics [PDF]

, 2014
The Monge–Ampère (MA) equation arising in illumination design is highly nonlinear so that the convergence of the MA method is strongly determined by the initial design.
Benítez Giménez, Pablo, Wu, Rengmao, Miñano Dominguez, Juan Carlos, Zhang, Yaqin   +3 more
core   +1 more source

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]

J Sci Comput, 2022
Caboussat A, Glowinski R, Gourzoulidis D.   +2 more
europepmc   +1 more source

Dirichlet problem for degenerate elliptic complex Monge-Ampere equation

Electronic Journal of Differential Equations, 2004
We consider the Dirichlet problem $$ det ig({frac{partial^2u}{partial z_ipartial overline{z_j}}} ig)=g(z,u)quadmbox{in }Omega,, quad uig|_{ partial Omega }=varphi,, $$ where $Omega$ is a bounded open set of $mathbb{C}^{n}$ with regular boundary, $g$ and $
Saoussen Kallel-Jallouli
doaj  

Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations

Mathematics
A family of strongly nonlinear nonstationary equations of mathematical physics with three independent variables is investigated, which contain an arbitrary degree of the first derivative with respect to time and a quadratic combination of second ...
Alexander V. Aksenov, Andrei D. Polyanin
doaj   +1 more source

A research into the numerical method of Dirichlet's problem of complex Monge–Ampère equation on Cartan–Hartogs domain of the third type

, 2008
Monge–Ampère equation is a nonlinear equation with high degree, therefore its numerical solution is very important and very difficult. In present paper the numerical method of Dirichlet's problem of Monge–Ampère equation on Cartan–Hartogs domain of the ...
Yin, Weiping, Yin, Xiaolan
core   +1 more source

New Approach for Interior Regularity of Monge-Ampère Equations [PDF]

By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-Ampère equation $\det D^2 u = 1$
Zhou, Xingchen, Chen, Ruosi
core   +1 more source

The Monge-Ampère equation: Hamiltonian and symplectic structures, recursions, and hierarchies [PDF]

, 2004
Using methods of geometry and cohomology developed recently, we study the Monge-Ampère equation, arising as the first nontrivial equation in the associativity equations, or WDVV equations.
Krasil'shchik, I., Verbovetsky, A., Kersten, P.H.M.   +2 more
core   +1 more source

New $C^0$ interior penalty method for Monge-Ampère equations [PDF]

Monge-Ampère equation is a prototype second-order fully nonlinear partial differential equation. In this paper, we propose a new idea to design and analyze the $C^0$ interior penalty method to approximation the viscosity solution of the Monge-Ampère ...
Chu, Tianyang, Zhang, Zhimin, Guo, Hailong   +2 more
core   +1 more source