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Boundary value problems of fully non...

Chen, Szu-Yu.

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Boundary value problems of fully nonlinear equations in conformal geometry.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Boundary value problems of fully nonlinear equations in conformal geometry./
Author:	Chen, Szu-Yu.
Description:	100 p.
Notes:	Adviser: Sun-Yung Alice Chang.
Contained By:	Dissertation Abstracts International67-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208879
ISBN:	9780542572173

Boundary value problems of fully nonlinear equations in conformal geometry.
Chen, Szu-Yu.

Boundary value problems of fully nonlinear equations in conformal geometry. - 100 p.

Adviser: Sun-Yung Alice Chang.

Thesis (Ph.D.)--Princeton University, 2006.

In this thesis, we consider boundary value problems for a class of fully nonlinear partial differential equations in conformal geometry. This class of equations arises from the study of the integrand in the Gauss-Bonnet formula under conformal deformations. A key step in achieving the existence of solutions for such equations is to derive a priori estimates. The main advantage of our method in achieving these estimates is to get C 2 estimates directly from C0 estimates, and obtain C1 estimates as a consequence. The method is also applicable to a large class of fully nonlinear partial differential equations. We will prove the existence theorems and apply them to studies of conformal geometry on manifolds with boundary and conformally compact Einstein manifolds.

ISBN: 9780542572173Subjects--Topical Terms:

515831
Mathematics.

Boundary value problems of fully nonlinear equations in conformal geometry.
LDR:01637nam 2200265 a 45 001 954255
005 20110622
008 110622s2006 eng d
020 $a 9780542572173
035 $a (UMI)AAI3208879
035 $a AAI3208879
040 $a UMI $c UMI
100 1 $a Chen, Szu-Yu. $3 1277728
245 1 0 $a Boundary value problems of fully nonlinear equations in conformal geometry.
300 $a 100 p.
500 $a Adviser: Sun-Yung Alice Chang.
500 $a Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0923.
502 $a Thesis (Ph.D.)--Princeton University, 2006.
520 $a In this thesis, we consider boundary value problems for a class of fully nonlinear partial differential equations in conformal geometry. This class of equations arises from the study of the integrand in the Gauss-Bonnet formula under conformal deformations. A key step in achieving the existence of solutions for such equations is to derive a priori estimates. The main advantage of our method in achieving these estimates is to get C 2 estimates directly from C0 estimates, and obtain C1 estimates as a consequence. The method is also applicable to a large class of fully nonlinear partial differential equations. We will prove the existence theorems and apply them to studies of conformal geometry on manifolds with boundary and conformally compact Einstein manifolds.
590 $a School code: 0181.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a Princeton University. $3 645579
773 0 $t Dissertation Abstracts International $g 67-02B.
790 $a 0181
790 1 0 $a Chang, Sun-Yung Alice, $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208879