편미분방정식 해의 공간적 감소율을 결정하는 Poincare 상수

Abstract

This paper investigates history and modern developments concerning spatial decay estimates for solutions in a semi-infinite cylinder or strip, in which model equations are defined with appropriate homogeneous lateral boundary conditions and initial conditions but left end boundary data are assumed. Our aim is to show this Saint -Venant type decay rate dependent critically on the Poincare constant resulting from characterizing variational principles.