Recent advances in nonlinear analysis proceedings of the International Conference on Nonlinear Analysis, Hsinchu, Taiwan, 20-25 November 2006 (World Scientific, 2008)
Includes bibliographical references
This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research
A mathematical model for bacterial growth described by a hysteresis operator / Toyohiko Aiki and Jana Kopfová -- On a vector-valued singular perturbation problem on the sphere / Nelly André and Itai Shafrir -- On Liouville type theorems / H. Brezis, M. Chipot and Y. Xie -- Free boundary problems of the nonlinear heat equations coupled with the Navier-Stokes equations / Takesi Fukao -- Blow-up at space infinity for nonlinear heat equations / Yoshikazu Giga, Yukihiro Seki and Noriaki Umeda -- Diffusion mediated transport with a look at motor proteins / Stuart Hastings, David Kinderlehrer and J. Bryce McLeod -- Mathematical study of smoldering combustion under micro-gravity / Kota Ikeda and Masayasu Mimura -- Motion of non-convex polygons by crystalline curvature and almost convexity phenomena / Tetsuya Ishiwata -- Fundamental properties of solutions to a scalar-field type equation on the unit sphere / Yoshitsugu Kabeya and Hirokazu Ninomiya -- Existence theorems for elliptic quasi-variational inequalities in Banach spaces / Risei Kano, Nobuyuki Kenmochi and Yusuke Murase -- Asymptotic behavior of solutions of some semilinear heat equations in R[symbol] / Kazuhiro Ishige and Tatsuki Kawakami -- Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints / Ken Shirakawa, Masahiro Kubo and Noriaki Yamazaki -- Global bifurcation for semilinear elliptic problems / Marcello Lucia and Mythily Ramaswamy -- Global existence and asymptotic behavior of Gowdy symmeric spacetimes with nonlinear scalar field / Makoto Narita -- Interfaces driven by reaction, diffusion and convection / J. Härterich and Kuni Sakamoto -- Life span of solutions for a superlinear heat equation / Shota Sato -- Optimal control problems of quasilinear elliptic-parabolic equation / Noriaki Yamazaki