|
|
|
|
LEADER |
02053nmm a2200337 u 4500 |
001 |
EB001688812 |
003 |
EBX01000000000000000959379 |
005 |
00000000000000.0 |
007 |
cr||||||||||||||||||||| |
008 |
171203 ||| eng |
020 |
|
|
|a 9783662557259
|
100 |
1 |
|
|a Li, Tatsien
|
245 |
0 |
0 |
|a Nonlinear Wave Equations
|h Elektronische Ressource
|c by Tatsien Li, Yi Zhou
|
250 |
|
|
|a 1st ed. 2017
|
260 |
|
|
|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2017, 2017
|
300 |
|
|
|a XVI, 391 p. 2 illus
|b online resource
|
505 |
0 |
|
|a Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function
|
653 |
|
|
|a Calculus of Variations and Optimal Control; Optimization
|
653 |
|
|
|a Difference equations
|
653 |
|
|
|a Difference and Functional Equations
|
653 |
|
|
|a Functional equations
|
653 |
|
|
|a Partial Differential Equations
|
653 |
|
|
|a Partial differential equations
|
653 |
|
|
|a Calculus of variations
|
700 |
1 |
|
|a Zhou, Yi
|e [author]
|
041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
490 |
0 |
|
|a Series in Contemporary Mathematics
|
856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-662-55725-9?nosfx=y
|x Verlag
|3 Volltext
|
082 |
0 |
|
|a 515.353
|
520 |
|
|
|a 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
|