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Asymptotic Analysis and Singularities: Hyperbolic and Dispersive PDEs and Fluid Mechanics
Edited by: Hideo Kozono and Takayoshi Ogawa, Tohoku University, Sendai, Japan, Kazunaga Tanaka, Waseda University, Tokyo, Japan, Yoshio Tsutsumi, Kyoto University, Japan, and Eiji Yanagida, Tohoku University, Sendai, Japan
A publication of the Mathematical Society of Japan.
Advanced Studies in Pure Mathematics
2007; 396 pp; hardcover
Volume: 47
ISBN-10: 4-931469-40-X
ISBN-13: 978-4-931469-40-2
List Price: US$60
Member Price: US$48
Order Code: ASPM/47.1
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Singularities in PDE and the Calculus of Variations - Stanley Alama, Lia Bronsard and Peter J Sternberg

This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Volumes in this series are freely available electronically 5 years post-publication.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.


Graduate students and research mathematicians interested in differential equations.

Table of Contents

  • D. Chae -- On the incompressible Euler equations and the blow-up problem
  • H. Kubo -- Uniform decay estimates for the wave equation in an exterior domain
  • T. C. Sideris -- Dispersive estimates for solutions of multi-dimensional isotropic symmetric hyperbolic systems
  • T. Akahori -- A sharp bilinear restriction estimate for the sphere and its application to the wave-Schrödinger system
  • F. Asakura and M. Yamazaki -- Survey of admissible shock waves for \(2\times 2\) systems of conservation laws with an umbilic point
  • H. Fujiwara and M. Yamazaki -- The Helmholtz decomposition in Sobolev and Besov spaces
  • T. Hishida -- Steady motions of the Navier-Stokes fluid around a rotating body
  • M. Kadowaki, H. Nakazawa, and K. Watanabe -- Non-selfadjoint perturbation of Schrödinger and wave equations
  • H. Kozono, K. Minamidate, and H. Wadade -- Sobolev's imbedding theorem in the limiting case with Lorentz space and BMO
  • T. Kubo -- On the Stokes and Navier-Stokes equations in a perturbed half-space and an aperture domain
  • S. Machihara -- Bilinear estimates for the transport equations
  • Y. Maekawa and Y. Terasawa -- The Navier-Stokes equations with initial data in uniformly local \(L^p\)spaces
  • S. Masaki -- Semi-classical analysis of the Hartree equation around and before the caustic
  • H. Miura -- Remark on the dissipative quasi-geostrophic equations in the critical space
  • M. Narita -- Wave maps in gravitational theory
  • M. Okamura, Y. Shibata, and N. Yamaguchi -- A Stokes approximation of two dimensional exterior Oseen flow near the boundary
  • T. Ozawa and K. Tsutaya -- On the Cauchy problem for Schrödinger-improved Boussinesq equations
  • K. Pandey and A. K. Vaish -- Waves in two-phase flows
  • H. Sasaki -- Small data scattering for the Klein-Gordon equation with a cubic convolution
  • J. Segata -- On asymptotic behavior of solutions to the fourth order cubic nonlinear Schrödinger type equation
  • Y. Shibata and R. Shimada -- On the Stokes equation with Robin boundary condition
  • Y. Shibata and S. Shimizu -- \(L_p\)-\(L_q\) maximal regularity of the Neumann problem for the Stokes equations
  • T. Yamazaki -- Diffusion phenomenon for abstract wave equations with decaying dissipation
  • S. Yoshikawa -- On thermoelastic systems arising in shape memory alloys
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