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Xu-Jia Wang
(
汪徐家
)
Professor, FAA
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Address
- Centre for Mathematics and its Applications
- Australian National University
- ACT 0200, Australia
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Email address
- Xu-Jia.Wang@anu.edu.au (or this one)
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Phone
- (61-2) 6125 8968
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Fax
- (61-2) 6125 5549
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- more photos
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Research interests
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My research area is elliptic and parabolic partial differential
equations and applications in geometry and physics.
But I have been mostly working on fully nonlinear equations, including
the Monge-Ampère equation,
Hessian equations,
prescribing curvature equations ,
and applications in
affine geometry,
conformal geometry,
optimal transportation,
and
reflector antenna design.
I have also done some work in
the mean curvature equation and mean curvature flow,
and
some other topics.
Parabolic equations have been frequently used in my papers as gradient flows to geometric or variational problems,
and played a critical role.
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Publications
- Schauder estimates for elliptic and parabolic equations,
Chinese Ann. Math., 27(2006), 637-642.
- Boundary regularity for the Monge-Ampère and
affine maximal surface equations, Ann. Math., 167(2008), 993-1028.
- The Monge-Ampère equation and its geometric applications,
Handbook of Geometric Analysis, Inter. Press, 2008, Vol I, pp. 467-524.
- The k-Hessian equation,
Lecture Notes in Mathematics, Vol 1977, 2009.
- Affine maximal hypersurfaces,
Proc. Inter. Congress Math. Vol. III (Beijing, 2002), 221--231.
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Click here for more
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Links
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Applied and Nonlinear Analysis Program
- Mathematical Sciences Institute, ANU
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