The zeta functional determinants on manifolds with boundary

Sun Yung A. Chang; Jie Qing

doi:10.1006/jfan.1996.3060

The zeta functional determinants on manifolds with boundary

Sun Yung A. Chang
, Jie Qing

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

This is a continuing research of our previous work (S.-Y. A. Chang and J. Qing (1997),J. Funct. Anal.147, 327-362). In this paper we showW^2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.

Original language	English (US)
Pages (from-to)	363-399
Number of pages	37
Journal	Journal of Functional Analysis
Volume	147
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1996.3060
State	Published - Jul 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.1996.3060

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title = "The zeta functional determinants on manifolds with boundary",

abstract = "This is a continuing research of our previous work (S.-Y. A. Chang and J. Qing (1997),J. Funct. Anal.147, 327-362). In this paper we showW2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.",

author = "Chang, \{Sun Yung A.\} and Jie Qing",

note = "Funding Information: * Research is supported in part by NSF Grant DMS-9401465. E-mail: chang math.ucla. edu. -Research is supported in part by NSF Grant DMS-9407646. E-mail: qing math. columbia.edu.",

year = "1997",

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AU - Chang, Sun Yung A.

AU - Qing, Jie

N1 - Funding Information: * Research is supported in part by NSF Grant DMS-9401465. E-mail: chang math.ucla. edu. -Research is supported in part by NSF Grant DMS-9407646. E-mail: qing math. columbia.edu.

PY - 1997/7

Y1 - 1997/7

N2 - This is a continuing research of our previous work (S.-Y. A. Chang and J. Qing (1997),J. Funct. Anal.147, 327-362). In this paper we showW2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.

AB - This is a continuing research of our previous work (S.-Y. A. Chang and J. Qing (1997),J. Funct. Anal.147, 327-362). In this paper we showW2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.

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EP - 399

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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The zeta functional determinants on manifolds with boundary

Abstract

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