Nonlinear Wave Equations
Springer Berlin (Verlag)
978-3-662-55723-5 (ISBN)
This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.
Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut
ions to the corresponding linear problems, the method simply applies the contraction mapping principle.Introduction.- Linear Wave functions.- Sobolev inequality with Decay.- Estimates for solutions for linear wave equation.- Estimates for composition Function.
| Erscheinungsdatum | 28.12.2017 |
|---|---|
| Reihe/Serie | Series in Contemporary Mathematics |
| Zusatzinfo | XVI, 391 p. 2 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 771 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | asymptotic stability • blow-up phenomenon • Calculus of Variations • Calculus of Variations and Optimal Control • Cauchy problem • Difference and Functional Equations • Differential calculus & equations • Differential calculus & equations • global iteration method • lower bound estimates of life-span • Mathematics • mathematics and statistics • null solution • Optimization • Partial differential equations |
| ISBN-10 | 3-662-55723-1 / 3662557231 |
| ISBN-13 | 978-3-662-55723-5 / 9783662557235 |
| Zustand | Neuware |
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