Extensions of Moser-Bangert theory : locally minimal solutions

書誌事項

Extensions of Moser-Bangert theory : locally minimal solutions

Paul H. Rabinowitz, Edward W. Stredulinsky

(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 81)

Birkhäuser , Springer, c2011

大学図書館所蔵 件 / 全19件

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 205-206) and index

内容説明・目次

内容説明

This self-contained monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an Allen-Cahn PDE model of phase transitions. After recalling the relevant Moser-Bangert results, Extensions of Moser-Bangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for a graduate topics course in PDEs.

目次

1 Introduction.- Part I: Basic Solutions.- 2 Function Spaces and the First Renormalized Functional.- 3 The Simplest Heteroclinics.- 4 Heteroclinics in x1 and x2.- 5 More Basic Solutions.- Part II: Shadowing Results.- 6 The Simplest Cases.- 7 The Proof of Theorem 6.8.- 8 k-Transition Solutions for k > 2.- 9 Monotone 2-Transition Solutions.- 10 Monotone Multitransition Solutions.- 11 A Mixed Case.- Part III: Solutions of (PDE) Defined on R^2 x T^{n-2}.- 12 A Class of Strictly 1-Monotone Infinite Transition Solutions of (PDE).- 13 Solutions of (PDE) with Two Transitions in x1 and Heteroclinic Behavior in x2

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BB06218891
  • ISBN
    • 9780817681166
  • LCCN
    2011929863
  • 出版国コード
    xx
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [S.l],New York
  • ページ数/冊数
    viii, 208 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ

AltStyle によって変換されたページ (->オリジナル) /