11/27/01          MATHEMATICS DEPARTMENT, FERRIS STATE UNIVERSITY

11/27/01          MATH COLLOQUIUM, TUESDAY, NOVEMBER 27, 11:00am, STARR 138

 

 

SPEAKER:     Dr. Hengli Jiao,

Mathematics Department, Ferris State University    

 

 

TITLE:           Global Existence and Blow-up for Semilinear Wave

Equations in High Space Dimensions

 

 

ABSTRACT:

The purpose here is to discuss global existence and the blow-up of solutions to  in high space dimensions. We derive the small data global existence for Cauchy problem of the equation in 5-dimensional space with a weighted -norm. Sideris has proved that for n  and , where  is a critical exponent, the solutions blow up in finite time. But the proof needs many complicated properties of special functions. We show that estimating the wave front using elementary inequalities can derive the same result.

 

 

REFRESHMENTS:  11:00 am,  STARR 138

 

Please visit Math Colloquium website at

http://www.ferris.edu/htmls/colleges/artsands/Math/MATH_COLLOQUIUM/ColloquiumWeb/index.html