Critical exponents for semilinear Tricomi-type equations

von Daoyin He
Dissertation
Datum der mündl. Prüfung:2016-09-16
Erschienen:2016-11-24
Betreuer:Prof. Dr. Ingo Witt
Gutachter:Prof. Dr. Ingo Witt
Gutachter:Prof. Dr. Dorothea Bahns
Gutachter:Prof. Dr. Thomas Schick
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-5997

 

 

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Zusammenfassung

Englisch

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
 
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