Isometric immersion in E3 of a convex domain of the Lobachevskii plane containing two horocircles

1986 ◽  
Vol 39 (4) ◽  
pp. 335-338 ◽  
Author(s):  
Zh. Kaidasov ◽  
E. V. Shikin
Keyword(s):  
Convex Domain ◽  
Isometric Immersion ◽  
Lobachevskii Plane

The distribution function of the distance between two points in a convex domain

1977 ◽  
Vol 9 (3) ◽  
pp. 427-427 ◽  
Author(s):  
E. Gečiauskas
Keyword(s):  
Distribution Function ◽  
Convex Domain

scholarly journals Strichartz estimates for the wave equation on a 2D model convex domain

2021 ◽  
Vol 300 ◽  
pp. 830-880
Author(s):  
Oana Ivanovici ◽  
Gilles Lebeau ◽  
Fabrice Planchon
Keyword(s):  
Wave Equation ◽  
Convex Domain ◽  
Strichartz Estimates ◽  
2D Model

scholarly journals Quantitative unique continuation for the semilinear heat equation in a convex domain

2010 ◽  
Vol 259 (5) ◽  
pp. 1230-1247 ◽  
Author(s):  
Kim Dang Phung ◽  
Gengsheng Wang
Keyword(s):  
Heat Equation ◽  
Convex Domain ◽  
Unique Continuation ◽  
Semilinear Heat Equation ◽  
Quantitative Unique Continuation

Regularity of almost extremal solutions of Monge–Ampère equations

1991 ◽  
Vol 117 (1-2) ◽  
pp. 21-29 ◽  
Author(s):  
John I. E. Urbas
Keyword(s):  
Large Class ◽  
Convex Domain ◽  
Gauss Curvature ◽  
Extremal Solutions ◽  
Classical Solutions ◽  
Uniformly Convex ◽  
Suitable Sense ◽  
Monge Ampere

SynopsisWe show that for a large class of Monge-Ampère equations, generalised solutions on a uniformly convex domain Ω⊂ℝn are classical solutions on any pre-assigned subdomain Ω′⋐Ω, provided the solution is almost extremal in a suitable sense. Alternatively, classical regularity holds on subdomains of Ω which are sufficiently distant from ∂Ω. We also show that classical regularity may fail to hold near ∂Ω in the nonextremal case. The main example of the class of equations considered is the equation of prescribed Gauss curvature.

scholarly journals A Random String with Reflection in a Convex Domain

2011 ◽  
Vol 29 (3) ◽  
pp. 523-549 ◽  
Author(s):  
Said Karim Bounebache
Keyword(s):  
Convex Domain ◽  
Random String

scholarly journals On the existence of optimal meshes in every convex domain on the plane

2019 ◽  
Vol 238 ◽  
pp. 26-37
Author(s):  
András Kroó
Keyword(s):  
Convex Domain

On the boundedness of first derivatives for solutions to the Neumann–Laplace problem in a convex domain

2009 ◽  
Vol 159 (1) ◽  
pp. 104-112 ◽  
Author(s):  
Vladimir Maz’ya
Keyword(s):  
Convex Domain ◽  
Laplace Problem
Sign in / Sign up

Export Citation Format

Share Document