Classical Microlocal Analysis in the Space of Hyperfunctions

  • Editors
  • Seiichiro¬†Wakabayashi

Part of the Lecture Notes in Mathematics book series (LNM, volume 1737)

Table of contents

  1. Front Matter
    Pages i-4
  2. Seiichiro Wakabayashi
    Pages 5-39
  3. Seiichiro Wakabayashi
    Pages 115-204
  4. Seiichiro Wakabayashi
    Pages 205-258
  5. Seiichiro Wakabayashi
    Pages 259-293
  6. Back Matter
    Pages 295-367

About this book

Introduction

The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.

Keywords

Microlocal analysis analytic hypoellipticity calculus differential equation hyperfunction local solvability microlocal uniqueness partial differential equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0103767
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67603-4
  • Online ISBN 978-3-540-45161-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book