Mi-Ho Giga,
Yoshikazu Giga,
Jürgen Saal
Birkhäuser Boston
2010e druk, 2010
9780817641733
Nonlinear Partial Differential Equations
Asymptotic Behavior of Solutions and Self-Similar Solutions
Specificaties
Gebonden, 294 blz.
|
Engels
Birkhäuser Boston |
2010e druk, 2010
ISBN13: 9780817641733
Rubricering
Onderdeel van serie
Progress in Nonlinear Differential Equations and Their Applications
Levertijd 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
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.