Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations

A class of singular semilinear reaction-diffusion equations Cauchy problem

Author FangYuWen
Tutor YangFengZao
School Kunming University of Science and Technology
Course Computational Mathematics
Keywords Reaction-diffusion equations Singular Semilinear Semigroup The uniqueness of solution
CLC O175.2
Type Master's thesis
Year 2009
Downloads 12
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In this paper, semigroup theory and the contraction mapping principle of a class of singular semilinear reaction-diffusion 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 reaction-diffusion 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 reaction-diffusion equations existence , section II of this kind of singular semilinear reaction-diffusion 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 reaction-diffusion equations uniqueness of solution , which this is a core part of this result to fill the singular semilinear reaction-diffusion equations in one space research .

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