Dissertation > Excellent graduate degree dissertation topics show

Qualitative Theory of a Class of Singular Semilinear Parabolic Equations

Author: XuXiaoLi
Tutor: WangChunPeng
School: Jilin University
Course: Basic mathematics
Keywords: Singular Extinguish Classical solution
CLC: O175.26
Type: Master's thesis
Year: 2011
Downloads: 12
Quote: 0
Read: Download Dissertation

Abstract


In this paper, a class of singular semilinear parabolic equations qualitative theory , first consider the following one -dimensional problem where 0 0) to meet and f '(u) gt; 0, f \c. we show that the classical solution of the problem of existence and uniqueness of local and limited time off proved Quenching solution follows : ( a ) if for any 0 lt; x lt; R has a (x) b '(x ) gt; a '(x) b (x), then R is the only off point ( 2) If , for any 0 lt; x lt; R a a (x) b' (x) lt; a '(x ) b (x), then 0 is the only off point ( 3 ) if , for any 0 lt; x lt; R a a (x) b '(x) = a' (x) b (x), then [ 0, R] is off point set . Moreover, we study the following high- dimensional problems in which the origin of Rn BR as the center of the sphere of radius R , yielded similar results.

Related Dissertations

  1. Robust Passive Control for Uncertain Singular Systems,TP13
  2. Analysis and Control of Several Classes of Singular Networked Systems,O231
  3. Positive Solutions of Second Order Boundary Value Problems for Singular Differential Equations and Differential Systems,O175.8
  4. Research of Robust Control for Uncertain Time-delay Singular Bilinear Systems,TP13
  5. Research on Approaches of the Subjective Automated Assessment,TP391.1
  6. Based on kernel regression and non- local method of image denoising,TP391.41
  7. Building geometry and discrete spline modeling technology research,TU17
  8. Web news hot discovery system design and implementation,TP393.09
  9. Second-order nonlinear singular ф-Laplace operator equations infinitely many times Subharmonic,O175
  10. Robust Dissipative generalized bilinear control systems,TP13
  11. Zero dynamics of nonlinear differential algebraic systems and stability analysis,TP13
  12. Subspace-based analysis of Narrowband Interference Suppression in Spread Spectrum Communications,TN914.42
  13. Delay switched singular systems control and filtering,TP13
  14. The Qualitative Analysis of a Fast-Slow Predator-Prey System,O175
  15. Signal Processing Method Based on Singular Value Decomposition and Its Application to Mechanical Fault Diagnosis,TH165.3
  16. The literature of resources for research and application clustering system,TP391.1
  17. Research on Subspace Analysis Based Face Recognition Algorithm,TP391.41
  18. SVD -based digital watermarking algorithm,TP309.7
  19. Research of Digital Watermarking Technique in Transform Domain,TP309.7
  20. Seismic data random interference suppression technology research,P631.44
  21. Influence of Tropical Oceans on Middle and High Latitudes of Atmospheric Circulation Anomalies,P732

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Parabolic equation
© 2012 www.DissertationTopic.Net  Mobile