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

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