The Cauchy problem

著者

• Fattorini, H. O. (Hector O.)

書誌事項

The Cauchy problem

H.O. Fattorini ; foreword by Felix Browder

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 18 . Section, Analysis）

Cambridge Press, 1984

注記

Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1983

Publication taken over by Cambridge University Press in 1984 with a new copyright date

Bibliography: p. 510-626

Includes index

内容説明・目次

内容説明

This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schroedinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.

目次

• Editor's statement
• Foreword
• Preface
• 1. Elements of functional analysis
• 2. The caucy problem for some equations of mathematical physics: the abstract cauchy problem
• 3. Properly posed cauchy problems: general theory
• 4. Dissipative operators and applications
• 5. Abstract parabolic equations: applications to second order parabolic equations
• 6. Perturbation and approximation of abstract differential equations
• 7. Some improperly posed cauchy problems
• 8. The abstract cauchy problem for time-dependent equations
• 9. The cauchy problem in the sense of vector-valued distributions
• References
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA01439331
• ISBN:
  • 0521302382
• LCCN: 85121577
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge, [Cambridgeshire] ; New York, NY, USA
• ページ数/冊数: xxii, 636 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA378
  • DC19 : 515.3/53
• 件名:
  • LCSH : Cauchy problem
  • LCSH : Initial value problems
• 親書誌ID:
  • BA00064663