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Functional-Analytic Methods for Partial Differential Equations

Proceedings of a Conference and a Symposium held in Tokyo, Japan, July 3–9, 1989

  • Editors
  • Hiroshi Fujita
  • Teruo Ikebe
  • Shige Toshi Kuroda
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 1450)

Table of contents

  1. Front Matter
    Pages I-VII
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  2. Spectral concentration for dense point spectrum
    James S. Howland
    Pages 1-11
  3. Behaviour of a semilinear periodic-parabolic problem when a parameter is small
    E. N. Dancer, P. Hess
    Pages 12-19
  4. On smoothing property of Schrödinger propagators
    Kenji Yajima
    Pages 20-35
  5. A coin tossing problem of R. L. Rivest
    Gregory F. Bachelis, Frank J. Massey III
    Pages 36-52
  6. Liapunov functions and monotonicity in the Navier-Stokes equation
    Tosio Kato
    Pages 53-63
  7. Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system
    Hiroshi Matano
    Pages 64-87
  8. Introduction to geometric potential theory
    Takashi Suzuki
    Pages 88-103
  9. KDV, BO and friends in weighted Sobolev spaces
    Rafael José Iório Jr.
    Pages 104-121
  10. The square root problem for elliptic operators a survey
    Alan McIntosh
    Pages 122-140
  11. The initial value problem for a class of nonlinear dispersive equations
    Carlos E. Kenig, Gustavo Ponce, Luis Vega
    Pages 141-156
  12. On Schrödinger operators with magnetic fields
    Akira Iwatsuka
    Pages 157-172
  13. Existence of bound states for double well potentials and the Efimov effect
    Hideo Tamura
    Pages 173-186
  14. High energy asymptotics for the total scattering phase in potential scattering theory
    Arne Jensen
    Pages 187-195
  15. Feynman path integral to relativistic quantum mechanics
    Takashi Ichinose
    Pages 196-209
  16. On the distribution of poles of the scattering matrix for several convex bodies
    Mitsuru Ikawa
    Pages 210-225
  17. Smoothing effect for the Schrödinger evolution equations with electric fields
    Tohru Ozawa
    Pages 226-235
  18. Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition
    Takayoshi Ogawa, Yoshio Tsutsumi
    Pages 236-251
  19. Back Matter
    Pages 252-254
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About these proceedings

Keywords

Boundary value problem Distribution Evolution equations Functional analysis Nonlinear analysis Partial differential equations Sobolev space Spectral theory partial differential equation scattering theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084893
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-53393-1
  • Online ISBN 978-3-540-46818-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site