A class of singular semilinear reactiondiffusion equations Cauchy problem 

Author  FangYuWen 
Tutor  YangFengZao 
School  Kunming University of Science and Technology 
Course  Computational Mathematics 
Keywords  Reactiondiffusion equations Singular Semilinear Semigroup The uniqueness of solution 
CLC  O175.2 
Type  Master's thesis 
Year  2009 
Downloads  12 
Quotes  0 
In this paper, semigroup theory and the contraction mapping principle of a class of singular semilinear reactiondiffusion equations existence, existence, uniqueness, ie where p gt; 0, q gt; 0, f1 (x) and f2 (x) continuous nonnegative bounded . The first chapter of the singular semilinear reactiondiffusion equations research background , research status and overview of existing achievements made . The second chapter of the theory of functional analysis required for this study and inequality theory are outlined. The third chapter is divided into two , first studied the singular semilinear reactiondiffusion equations existence , section II of this kind of singular semilinear reactiondiffusion equations nonexistence . Chapter Four Points discussed when (1) p gt; 1, q gt; 1, (2) 0 lt; p lt; 1,0 lt; q lt; 1, (3) 0 lt; p lt; 1 , q gt; 1, and pq gt; 1, (4) 0 lt; q lt; 1, p gt; 1, and pq gt; 1, when the singular semilinear reactiondiffusion equations uniqueness of solution , which this is a core part of this result to fill the singular semilinear reactiondiffusion equations in one space research .