Critical exponents for semilinear Tricomi-type equations

by Daoyin He
Doctoral thesis
Date of Examination:2016-09-16
Date of issue:2016-11-24
Advisor:Prof. Dr. Ingo Witt
Referee:Prof. Dr. Ingo Witt
Referee:Prof. Dr. Dorothea Bahns
Referee:Prof. Dr. Thomas Schick
Persistent Address: http://dx.doi.org/10.53846/goediss-5997

 

 

Files in this item

Name:dissertation daoyin he.pdf
Size:550.Kb
Format:PDF

The following license files are associated with this item:

Abstract

English

In this thesis, we consider the semilinear Tricomi-type equations. In particular, we work on the global Cauchy problem for the semilinear Tricomi-type equation with suitable initial data. The main objective of this thesis is to determine the critical exponent, if exponent is small than the critical exponent, then local solution blows up in finite time. If exponent is big than the critical exponent, then the global existence of small initial data solution is guaranteed.
Keywords: degnerate hyperbolic equations, blowup, global existence, critical exponent, test function, Fourier integral operator, Strichartz estimate
 
Statistik