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 全43件
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.
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