ABSTRACT
ASYMPTOTIC BEHAVIOR OF SEMILINEAR HEAT EQUATIONS WITH SOURCE
 
DURAN, Ahmet
M.S., Department of Mathematics
Supervisor: Prof. Dr. A. Okay CELEBI
September 1998, 101 pages. 
                      In this work, we will recover the known results on asymptotic behavior of solutions of problems 

for some semilinear heat equations of the form

ut - D u = f(x,u,uxi) 

with the Dirichlet boundary condition, in a bounded domain W Ì RN. 
  
Key words : semilinear heat equations, decay rate of solution, bounded domain, blow-up, boundedness of  global 

solutions,large time behavior.