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Geometric Analysis and Partial Differential Equations Seminar

April 10, 2013 @ 10:30 am - 11:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Dr Bin Zhou (Australian National University)

Title

The Bernstein theorem for a class of fourth order equations

Abstract

In this talk, we concern on a class of fourth order equations of Monge-Ampere type. In particular, affine maximal surface equation from affine geometry and Abreu’s equation arising from scalar curvature equation on toric Kahler manifolds are included. I will talk about the 2-dimensional Bernstein theorem for these equations, i.e., the entire solution to these equations must be quadratic polynomials. The main ingredients are interior estimates and the proof of strict convexity for the solutions.

Details

Date:
April 10, 2013
Time:
10:30 am - 11:30 pm
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Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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