Selcuk, B.2024-09-292024-09-2920222146-1147https://hdl.handle.net/20.500.14619/8712This paper studies the following reaction-diffusion equation with a weak singular boundary condition. The primary objective for this problem is to analyze the quenching properties. It is obtained that finite time quenching occurs on the left bound-ary, the time derivative of the solution blows up at the same time and also quench-ing rate estimates of the solution of the eqaution kt(x, t) = kxx(x, t) + ln alpha k(x, t), (x, t) is an element of (0, 1) x (0, T) with kx (0, t) = - ln beta k(0, t), kx (1, t) = 0, t is an element of (0, T) and ini-tial function k (x, 0) = k0 (x) with [0, 1] -> (0, 1) where 0 < alpha, beta < 1 and T is a finite time.eninfo:eu-repo/semantics/closedAccessReaction-diffusion equationSingular boundary conditionQuenchingMax-imum principlesArticle11654116012WOS:000867682700001N/A