Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions
著者
書誌事項
Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 79）
Birkhäuser, c2010
大学図書館所蔵 件 / 全43件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
