ENGLISH

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

By Yoshikazu Giga , Mi-Ho Giga , Jürgen Saal , Birkhauser

Book information

Publisher
Birkhäuser
Year
2010
ISBN
0817641734, 978-0-8176-4173-3, 978-0-8176-4651-6, 0817646515
Language
english
Format
PDF
Filesize
2 MB (1951015 bytes)
Series
Progress in nonlinear differential equations and their applications 79
Pages
350\306
Library
kolxoz
Time added
2017-10-15 16:00:00
Nichtlineare partielle Differentialgleichung;NichtNonlinear

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 Front Matter....Pages i-xviii Front Matter....Pages 1-1 Behavior Near Time Infinity of Solutions of the Heat Equation....Pages 3-36 Behavior Near Time Infinity of Solutions of the Vorticity Equations....Pages 37-103 Self-Similar Solutions for Various Equations....Pages 105-138 Front Matter....Pages 140-140 Various Properties of Solutions of the Heat Equation....Pages 141-180 Compactness Theorems....Pages 181-188 Calculus Inequalities....Pages 189-238 Convergence Theorems in the Theory of Integration....Pages 239-247 Back Matter....Pages 249-294

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