Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions

Author(s)

• 儀我, 美保 ギガ, ミホ
• 儀我, 美一 ギガ, ヨシカズ
• Saal, Jürgen

Bibliographic Information

Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions

Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal

（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 79）

Birkhäuser, c2010

Note

Includes bibliographical references and index

Description and Table of Contents

Description

This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.

Table of Contents

Preface.- Part I Asymptotic Behavior of Solutions of Partial Differential Equations.- 1 Behavior Near Time Infinity of Solutions of the Heat Equation.- 2 Behavior Near Time Infinity of Solutions of the Vorticity Equations.- 3 Self-Similar Solutions for Various Equations.- Part II Useful Analytic Tools.- 4 Various Properties of Solutions of the Heat Equation.- 5 Compactness Theorems.- 6 Calculus Inequalities.- 7 Convergence Theorems in the Theory of Integration.- Answers to Exercises.- Comments on Further References.- References.- Glossary.- Index.

by "Nielsen BookData"

Details

• NCID: BB02463758
• ISBN:
  • 9780817641733
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xviii, 294 p
• Size: 24 cm
• Classification:
  • DC22 : 515.3534
• Subject Headings:
  • LCSH : Differential equations, Nonlinear
• Parent Bibliography ID:
  • BA07303999