Lectures on Partial Differential Equations: Proceedings in honor of Louis Nirenberg’s 75th Birthday

 

 

Price: $65

ISBN: 1-57146-111-6

Binding: Hardcover

Page Number: 238

Year Published: 2003

 

Based on lectures held at the Center for Theoretical Sciences in Taiwan in honor of Louis Nirenberg’s 75th birthday, the volume contains both research papers dealing with various problems in Partial Differential Equations such as wave maps, the Navier-Stokes equations, and Lagrangian submanifolds.

 

Professor Nirenberg is particularly appreciated for his generous encouragement of the development of mathematics in the Asia-Pacific region and the mixture of articles by distinguished mathematicians from Asia and other parts of the world.

 

Table of Contents

 

1        Recent Progress in Conformal Geometry (with an Emphasis on the Use of Configuration Spaces) – ABBAS BAHRI

 

2        Homotopy Classes in Sobolev Spaces – HAIM BREZIS

 

3        Entire Solutions of a Fully Nonlinear Equation – SUN-YUNG A. CHANG, MATTHEW J GURSKY & PAUL C YANG

 

4        Extremal Functions for a Mean Field Equation in Two Dimension – SUN-YUNG A CHANG, CHIUN-CHUAN CHEN, & CHANG-SHOU LIN

 

5        Shocks and very Strong Vertical Diffusion – YOUSHIKAZU GIGA

 

6        The Wave Map Problem – MANOUSSOS G GRILLAKIS

 

 

7        Some Regularity Criteria on Suitable Weak Solutions of the 3-D Incompressible Axisymmetric Navier-Stokes Equations – QUANSEN JIU & ZHOUPING XIN

 

8        Multiplier Ideals and Microlocalization – JOSEPH J. KOHN

 

9        Some Recent Work on Elliptic Systems from Composite Material – YAN YAN LI

 

10    Bubbling and Quantization in High Dimensions – FANG HUA LIN

 

11    Entropy Pairs for Conservation Laws and H-theorem for the Boltzmann Equation -  TAI-PING LIU, TONG YANG, & SHIH-HSIEN YU

 

12    Qualitative Results on the Generalized Critical KdV Equation – YVAN MARTEL & FRANK MERLE

 

13    The Volume Functional for Lagrangian Submanifolds -  RICHARD SCHOEN & JON WOLFSON

 

14    An Algebraic  Characterization of the Modified Korteweg - De Vries Hierachy – FRANCOIS TREVES

 

15    Particle Systems and Partial Differential Equations – S.R.S. VARADHAN

 

16    An Estimate of the Gap of the first two Eigenvalues in the Schrodinger Operator – SHING-TUNG YAU