Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

  • View
  • All
  • 수학부
  • 물리학부
  • 계산과학부
  • Center for Advanced Computation

Seminar View

Seminar
TITLE Gauss curvature flow with an obstacle
KIAS AUTHORS Lee, Taehun,Lee, Ki-Ahm
JOURNAL CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021
ARCHIVE  
ABSTRACT We consider the obstacle problem for the Gauss curvature flow with an exponent alpha. Under the assumption that both the obstacle and the initial hypersurface are strictly convex closed hypersurfaces and that the obstacle is enclosed by the initial hypersurface, uniform estimates are obtained for several curvatures via a penalty method. We also prove that when the hypersurface is two dimensional with 0<<= 1, the solution of the Gauss curvature flow with an obstacle exists for all time with bounded principal curvatures {lambda i}, where the upper bound is uniform, and the lower bound depends on the distance from the free boundary. Moreover, we show that there exists a finite time T after which the solution becomes stationary in the same shape as the obstacle.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~