Recent Advances in Elliptic And Parabolic Problems: Proceedings of the International Conference, Hsinchu, Taiwan 16 - 20 February 2004

by Chen, Chiun-Chuan; Chipot, Michel; Lin, Chang-Shou

• ISBN13: 9789812561893
• ISBN10: 9812561897
• Format: Hardcover
• Copyright: 2005-02-28
• Publisher: World Scientific Pub Co Inc

Summary

The book is an account on recent advances in elliptic and parabolic problems and related equations, including general quasi-linear equations, variational structures, Bose-Einstein condensate, Chern-Simons model, geometric shell theory and stability in fluids. It presents very up-to-date research on central issues of these problems such as maximal regularity, bubbling, blowing-up, bifurcation of solutions and wave interaction. The contributors are well known leading mathematicians and prominent young researchers.

Table of Contents

Preface	v
Maximal Regularity and Quasilinear Parabolic Boundary Value Problems	1	(18)
Herbert Amann
Remarks on the Two and Three Membranes Problem	19	(16)
Assis Azevedo
Jose-Francisco Rodrigues
Lisa Santos
On the Applications from the Divergence-type Identities in Punctured Domain	35	(6)
Jann-Long Chern
Sze-Guang Yang
Bubbling and Criticality in Two and Higher Dimensions	41	(20)
Manuel Del Pino
Monica Musso
Blow up Solutions for a Liouville Equation with Singular Data	61	(20)
Pierpaolo Esposito
Positive Solution Branch for Elliptic Problems with Critical Indefinite Nonlinearity	81	(16)
Jacques Giacomoni
Jyotshana Prajapat
Mythily Ramaswamy
Existence Theory for a New Semi-linear Elliptic System Arising in Nonlinear Shell Theory	97	(10)
Liliana Gratie
Problems in Unbounded Cylindrical Domains	107	(14)
Patrick Guidotti
Entire Solutions of Some Reaction-Diffusion Equations	121	(16)
Jong-Shenq Guo
Some Abelian Gauge Field Theories in the Self-dual and Nonself-dual Cases	137	(16)
Jongmin Han
Namkwon Kim
Ginzburg-Landau Equations on Non-uniform Media	153	(26)
Satoshi Kosugi
Phase Separation of Bound State Solutions of a System of Nonlinear Schrodinger Equations	179	(10)
Chang-Shou Lin
Tai-Chia Lin
Finding the Elasticae by Means of Geometric Gradient Flows	189	(10)
Chun-Chi Lin
Hartmut R. Schwetlick
Uniform Rectifiability from Mean Curvature Bounds	199	(4)
Stephan Luckhaus
Free Work Identity and Nonlinear Instability in Fluids with Free Boundaries	203	(14)
Mariarosaria Padula
Complete and Energy Blow-up in Superlinear Parabolic Problems	217	(14)
Pavol Quittner
On Linear Stability and Instability of Equilibrium Figures of Uniformly Rotating Liquid	231	(28)
Vsevolod A. Solonnikov
On Non-topological Multivortex Condensates in the Generalized Self-dual Chern-Simons Theory	259	(12)
Takashi Suzuki
Futoshi Takahashi
Non-stabilizing Solutions for a Supercritical Semilinear Parabolic Equation	271
Eiji Yanagida