XuJia Wang
(
汪徐家
)
Professor, FAA

Address
 Centre for Mathematics and its Applications
 Australian National University
 ACT 0200, Australia

Email address
 XuJia.Wang@anu.edu.au

Phone
 (612) 6125 8968

Fax
 (612) 6125 5549

 more photos

Research interests

My research area is elliptic and parabolic partial differential
equations and applications in geometry and physics.
I have been mostly working on fully nonlinear equations, including
the MongeAmpère 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.

Publications
 Schauder estimates for elliptic and parabolic equations,
Chinese Ann. Math., 27(2006), 637642.
 Convex solutions to th emean curvature flow, Ann. Math., 167(2008), 9931028.
 The MongeAmpère equation and its geometric applications,
Handbook of Geometric Analysis, Inter. Press, 2008, Vol I, pp. 467524.
 The kHessian equation,
Lecture Notes in Mathematics, Vol 1977, 2009.
 Affine maximal hypersurfaces,
Proc. Inter. Congress Math. Vol. III (Beijing, 2002), 221231.

More publicatios at the ANU research webpage

Links

Applied and Nonlinear Analysis Program
 Mathematical Sciences Institute, ANU
