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

✍ Scribed by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal, Birkhauser

Publisher: Birkhäuser
Year: 2010
Tongue: English
Leaves: 306
Series: Progress in nonlinear differential equations and their applications 79
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

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

✦ Subjects

Nichtlineare partielle Differentialgleichung;Nichtlineare partielle Differentialgleichung;Differential equations, Nonlinear

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