Bir Sınıf Doğrusal Olmayan Difüzyon Denklemlerinin İncelenmesi

Abstract

This work is devoted to the existence and uniqueness of the solution of 3. typeinitial-boundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our problem is defined and not only thehistorical development of the type of this equation but also some studies done on thetype of our problem are mentioned. In the second, general and special informations aregiven for this work. In the third, the problem which is taken into account is analysed.This chapter consists of two sub chapters related to the initial value of the problem.These sub chapters are investigated in three different cases as depending on nonlinearpart of the problem. Sufficient conditions for the existence and uniqueness of generalizedsolution of the problem are obtained and under these conditions the existence anduniqueness of generalized solution of the problem is proved. In the forth, behavior ofthe solution is investigated.