Mi-Ho Giga,
Yoshikazu Giga,
Jürgen Saal
Nonlinear Partial Differential Equations
Asymptotic Behavior of Solutions and Self-Similar Solutions
Gebonden Engels 2010 2010e druk 9780817641733Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780817641733
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:294
Uitgever:Birkhäuser Boston
Druk:2010
Lezersrecensies
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Inhoudsopgave
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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