Parabolic monge–ampère equations

Results 61 to 70 of about 1,563,827 (90)

A Generalization of a Theorem by Calabi to the Parabolic Monge-Ampère Equation

, 1998
We prove that if the function u = u(x,t), convex in x and nonincreasing in t, has time derivative bounded away from 0 and −∞, and is a solution of the parabolic Monge-Ampère equation $-u_{t} \text{det} D^{2}_{x} u = 1$ in ℝn × (−∞,0], then u must be of ...
Huang, Qingbo, Gutiérrez, Cristian E.
core +1 more source

Singular Abreu equations and linearized Monge-Ampère equations with drifts [PDF]

We study the solvability of singular Abreu equations which arise in the approximation of convex functionals subject to a convexity constraint. Previous works established the solvability of their second boundary value problems either in two dimensions, or
Zhou, Bin, Le, Nam Q., Kim, Young Ho, Wang, Ling +3 more
core +1 more source

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]

J Geom Anal, 2018
Chen GG, Li S.
europepmc +1 more source

Singular integrals related to the Radon transform and boundary value problems. [PDF]

Proc Natl Acad Sci U S A, 1983
Phong DH, Stein EM.
europepmc +1 more source

Generalized finite difference methods for Monge-Ampère equations

, 2017
We introduce a framework for constructing monotone approximations of Monge-Ampère type equations on general meshes or point clouds. These schemes easily handle complex geometries and non-uniform distributions of discretization points.
Froese, Brittany
core +1 more source

Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]

J Geom Anal
Karigiannis S, Picard S, Suan C.
europepmc +1 more source

Pseudo time continuation and time marching methods for Monge-Ampère type equations

, 2010
1 online resource (PDF, 15 pages, includes illustrations)Awanou, Gerard. (2010). Pseudo time continuation and time marching methods for Monge-Ampère type equations.
Awanou, Gerard
core

Optimal Control of Underdamped Systems: An Analytic Approach. [PDF]

J Stat Phys
Sanders J, Baldovin M, Muratore-Ginanneschi P. +2 more
europepmc +1 more source

On the Numerical Integration of the Fokker-Planck Equation Driven by a Mechanical Force and the Bismut-Elworthy-Li Formula. [PDF]

Entropy (Basel)
Sanders J, Muratore-Ginanneschi P.
europepmc +1 more source

Review for optical metalens based on metasurfaces: fabrication and applications. [PDF]

Microsyst Nanoeng
Hu Z +8 more
europepmc +1 more source

monotonicity