D. G. Azov, “Estimation of the size of domain of regular solution for a hyperbolic Monge–Ampere equation”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2014, Volume 6, Issue 1,Pages <nobr>10

Mathematics

Estimation of the size of domain of regular solution for a hyperbolic Monge–Ampere equation

D. G. Azov

South Ural State University

Abstract: The article deals with a hyperbolic Monge–Ampere equation which has a $C^2$-regular solution in the circle. It provides sufficient conditions for the existence of estimate for the circle radius.

Keywords: surfaces with negative Gaussian curvature, hyperbolic Monge–Ampere equation, estimate of domain of regular solution.

UDC: 514.772

Received: 04.09.2013