Chang, SunYung A. 1948
Overview
Works:  15 works in 62 publications in 2 languages and 1,165 library holdings 

Genres:  Conference papers and proceedings Filmed lectures Periodicals 
Roles:  Author, Editor, Other 
Publication Timeline
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Most widely held works about
SunYung A Chang
 Chang, SunYung Alice : Mathematical Analysis, Geometric Analysis( )
 Chang, SunYung Alice. Professor of Mathematics( )
Most widely held works by
SunYung A Chang
Geometric analysis and PDEs : lectures given at the C.I.M.E. summer school held in Cetraro, Italy June 1116, 2007 by
Matthew J Gursky(
)
17 editions published in 2009 in English and held by 584 WorldCat member libraries worldwide
This volume contains lecture notes on some topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics. The presentation of the material should be rather accessible to nonexperts in the field, since the presentation is didactic in nature. The reader will be provided with a survey containing some of the most exciting topics in the field, with a series of techniques used to treat such problems
17 editions published in 2009 in English and held by 584 WorldCat member libraries worldwide
This volume contains lecture notes on some topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics. The presentation of the material should be rather accessible to nonexperts in the field, since the presentation is didactic in nature. The reader will be provided with a survey containing some of the most exciting topics in the field, with a series of techniques used to treat such problems
Nonlinear elliptic equations in conformal geometry by
SunYung A Chang(
Book
)
11 editions published in 2004 in English and German and held by 242 WorldCat member libraries worldwide
Nonlinear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role played by the second order semilinear elliptic equations in the study of Gaussian curvature and scalar curvature has been extended to a family of fully nonlinear elliptic equations associated with other symmetric functions of the Ricci tensor. A case of particular interest is the second symmetric function of the Ricci tensor in dimension four closely related to the Pfaffian. In these lectures, starting from the background material, the author reviews the problem of prescribing Gaussian curvature on compact surfaces. She then develops the analytic tools (e.g. higher order conformal invariant operators, Sobolev inequalities, blowup analysis) in order to solve a fully nonlinear equation in prescribing the ChernGaussBonnet integrand on compact manifolds of dimension four
11 editions published in 2004 in English and German and held by 242 WorldCat member libraries worldwide
Nonlinear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role played by the second order semilinear elliptic equations in the study of Gaussian curvature and scalar curvature has been extended to a family of fully nonlinear elliptic equations associated with other symmetric functions of the Ricci tensor. A case of particular interest is the second symmetric function of the Ricci tensor in dimension four closely related to the Pfaffian. In these lectures, starting from the background material, the author reviews the problem of prescribing Gaussian curvature on compact surfaces. She then develops the analytic tools (e.g. higher order conformal invariant operators, Sobolev inequalities, blowup analysis) in order to solve a fully nonlinear equation in prescribing the ChernGaussBonnet integrand on compact manifolds of dimension four
Conformal, Riemannian and Lagrangian geometry : the 2000 Barrett lectures by
SunYung A Chang(
Book
)
12 editions published in 2002 in English and held by 236 WorldCat member libraries worldwide
Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactifications of manifolds and on Yamabetype variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially in connection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an updodate overview and an introduction to the research literature in each of their areas. This very readable introduction should prove useful to graduate students and researchers in differential geometry and geometric analysis
12 editions published in 2002 in English and held by 236 WorldCat member libraries worldwide
Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactifications of manifolds and on Yamabetype variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially in connection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an updodate overview and an introduction to the research literature in each of their areas. This very readable introduction should prove useful to graduate students and researchers in differential geometry and geometric analysis
Lectures on partial differential equations : proceedings in honor of Louis Nirenberg's 75th birthday(
Book
)
4 editions published in 2003 in English and held by 54 WorldCat member libraries worldwide
4 editions published in 2003 in English and held by 54 WorldCat member libraries worldwide
Geometric Analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 1116, 2007 by Centro internazionale matematico estivo(
)
3 editions published in 2009 in English and held by 19 WorldCat member libraries worldwide
3 editions published in 2009 in English and held by 19 WorldCat member libraries worldwide
Fifty years of Eigenvalue perturbation theory by
Barry Simon(
Visual
)
2 editions published in 1990 in English and held by 14 WorldCat member libraries worldwide
Simon presents a historical overview of the developments of the past halfcentury, lecturing on this area at the borderline of mathematics and theoretical physics. The first 25 years were marked by the development of abstract theories by Kato and coworkers of such topics as analytical perturbations, asymptotic series, and stability. In the second 25year period, the emphasis shifted to a more detailed study of specific models. Three themes emerged: BenderWu asymptotic formulae, Borel summability, and complex scaling. Other topics covered in this lecture include: convergent perturbation theory, summability methods, double wells, isoelectronic sequences, anharmonic oscillators, and the Zeeman and Stark effects
2 editions published in 1990 in English and held by 14 WorldCat member libraries worldwide
Simon presents a historical overview of the developments of the past halfcentury, lecturing on this area at the borderline of mathematics and theoretical physics. The first 25 years were marked by the development of abstract theories by Kato and coworkers of such topics as analytical perturbations, asymptotic series, and stability. In the second 25year period, the emphasis shifted to a more detailed study of specific models. Three themes emerged: BenderWu asymptotic formulae, Borel summability, and complex scaling. Other topics covered in this lecture include: convergent perturbation theory, summability methods, double wells, isoelectronic sequences, anharmonic oscillators, and the Zeeman and Stark effects
Reduced power operations in motivic cohomology by
Vladimir Voevodsky(
Book
)
2 editions published in 2003 in Undetermined and English and held by 4 WorldCat member libraries worldwide
2 editions published in 2003 in Undetermined and English and held by 4 WorldCat member libraries worldwide
Estimates and extremals for zeta function determinants on fourmanifolds by
Thomas Branson(
Book
)
3 editions published in 1991 in German and English and held by 3 WorldCat member libraries worldwide
3 editions published in 1991 in German and English and held by 3 WorldCat member libraries worldwide
On the structure of some Douglas subalgebras by
SunYung A Chang(
)
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide
Spline characterizations of H1 by
SunYung A Chang(
Book
)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
Some algebras of bounded analytic functions containing the disc algebra by
SunYung A Chang(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Thomas H. Wolff (19542000) by
Lennart Carleson(
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Spline characterizations of h by
SunYung A Chang(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Malchiodi, Andrea Editor
 Ambrosetti, A. (Antonio) Editor
 Gursky, Matthew J. Author
 Yang, Paul C.
 Lin, ChangShou
 Yau, HorngTzer
 Lanconelli, Ermanno
 Nirenberg, L. Honoree
 Freire, Alexandre S. Other Editor
 Wang, XuJia
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Associated Subjects
Algebraic topology American Mathematical Society Biography Canada Cohomology operations Conformal geometry Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Partial Educators Eigenvalues Elliptic operators Functional analysis Geometric analysis Geometry, Analytic Geometry, Differential Geometry, Riemannian Mathematical physics Mathematics Measure theory Perturbation (Mathematics) Scientists Stark effect Summability theory Topological manifolds United States Women Zeeman effect
Covers
Alternative Names
Chang, A. 1948
Chang, S. Y. 1948
Chang, S.Y. A. 1948
Chang, SunYung A.
Chang, SunYung A. 1948
Chang, SunYung Alice
SunYung Alice Chang.
SunYung Alice Chang American mathematician
SunYung Alice Chang Amerikaans wiskundige
SunYung Alice Chang amerikansk matematikar
SunYung Alice Chang amerikansk matematiker
SunYung Alice Chang matemática estadounidense
SunYung Alice Chang matemàtica estatunidenca
SunYung Alice Chang mathématicienne américaine
SunYung Alice Chang USamerikanische Mathematikerin
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