11/27/01 MATHEMATICS
DEPARTMENT, FERRIS STATE UNIVERSITY

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

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**SPEAKER: **Dr. Hengli Jiao,

Mathematics Department,
Ferris State University** **

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# TITLE: Global Existence
and Blow-up for Semilinear Wave

# Equations
in High Space Dimensions

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# 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.

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**REFRESHMENTS: **11:00
am, STARR 138

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### Please visit Math Colloquium website at

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

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