Title of article :
ON A NONNEGATIVE SOLUTIONS OF THE HEAT EQUATION WITH SINGULAR POTENTIAL IN THE CONICAL DOMAIN
Author/Authors :
HUDAYKULIYEV, B.A. Turkmen State University, Turkmenistan
Abstract :
In this paper we study the behavior of nonnegative solution of the Cauchy-Dirichlet problem for the heat equation with a singular potential in the domain Ω_v = G (subset) B_v = G (subset) B_v (0 , r) (subset) R^n; n ≥ 3, where G be a cone in R^n and r e_v ^-1. Existence and nonexistence of nonnegative solutions are analyzed.
Keywords :
heat equation , singular potential , nonnegative solution , existence and nonexistence
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
