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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.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Boundary value problems of fully nonlinear equations in conformal geometry./
作者:	Chen, Szu-Yu.
面頁冊數:	100 p.
附註:	Adviser: Sun-Yung Alice Chang.
Contained By:	Dissertation Abstracts International67-02B.
標題:	Mathematics. -
電子資源:	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.
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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
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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