Recent Advances in Elliptic and Parabolic Problems

Recent Advances in Elliptic and Parabolic Problems
ISBN-10
9814480843
ISBN-13
9789814480840
Category
Science
Pages
284
Language
English
Published
2005-02-24
Publisher
World Scientific
Authors
Michel Chipot, Chiun-Chuan Chen, Chang-Shou Lin

Description

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. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Maximal Regularity and Quasilinear Parabolic Boundary Value Problems (H Amann)Remarks on the Two and Three Membranes Problem (J-F Rodrigues et al.)Bubbling and Criticality in Two and Higher Dimensions (M del Pino & M Musso)Blow Up Solutions for a Liouville Equation with Singular Data (P Esposito)Problems in Unbounded Cylindrical Domains (P Guidotti)Entire Solutions of Some Reaction-Diffusion on Equations (J-S Guo)Some Abelian Gauge Field Theories in the Self-dual and Nonself-dual Cases (J Han & N Kim)Ginzburg–Landau Equations on Non-uniform Media (S Kosugi)Finding the Elasticae by Means of Geometric Gradient Flows (C-C Lin & H R Schwetlick)Free Work Identity and Nonlinear Instability in Fluids with Free Boundaries (M Padula)Complete and Energy Blow-up in Superlinear Parabolic Problems (P Quittner)Non-stabilizing Solutions for a Supercritical Semilinear Parabolic Equation (E Yanagida)and other papers Readership: Graduate students and researchers in partial differential equations and mathematical physics. Keywords:Elliptic Equations;Parabolic Problems;Nonlinear Analysis;Partial Differential EquationsKey Features:Presents up-to-date research in many important and hot topicsWritten by first class researchers in related fieldsContains rich models arising from different fields

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