Bir Sınıf Doğrusal Olmayan Difüzyon-Reaksiyon Denklemlerinin İncelenmesi

Abstract

In this dissertation, the study of long-time behavior and solvability of the reaction-diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition on the bounded domain have been investigated.The dissertation is organized as follows. In the first part (Chapter 1), we introduce the problem to be studied. Additionally, the works which are related to the reaction-diffusion equations and especially with Robin boundary condition have been outlined.In the second chapter of dissertation, we give the definitions of some basic notions, theorems, lemmas and inequalities.In the third chapter, We investigate the problem in sublinear, linear and super linear cases, by depending on nonlinear part when the initial condition is zero. Additionally we investigate with nonzero initial condition in super linear case.