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New Zealand Mathematics Colloquium 1999
July 6-9, 1999
Department of Mathematics and Statistics, University of Canterbury
Christchurch, New Zealand

Organizers
Doris Barnard, Therese Boustead, Chris Price, Bruce Robson, Gunter Steinke, Graeme Wake, Allan Willms

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Existence of Solutions for Semilinear Evolution Equations
by
Gareth Hegarty
University of Auckland
Coauthors: Dr. Stephen Taylor

I will begin with a simple motivational example arising in the theory of nonlinear beams and show how its equations of motion may be written as a semilinear evolutionary system of partial differential equations. I will then look at different types of solution (weak, strong and classical) and survey elements of existence proofs (semigroup theory, fixed point methods and convergence techniques). The talk will be accessible to anyone with an elementary knowledge of differential equations and will focus on the main ideas and motives behind the theory and methods.

Date received: June 21, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacc-53.