Nonlinear Wave Equations

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 Cau...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Li, Tatsien (Συγγραφέας), Zhou, Yi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2017.
Σειρά:Series in Contemporary Mathematics, 2
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02664nam a22005055i 4500
001 978-3-662-55725-9
003 DE-He213
005 20180203142702.0
007 cr nn 008mamaa
008 171125s2017 gw | s |||| 0|eng d
020 |a 9783662557259  |9 978-3-662-55725-9 
024 7 |a 10.1007/978-3-662-55725-9  |2 doi 
040 |d GrThAP 
050 4 |a QA370-380 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
082 0 4 |a 515.353  |2 23 
100 1 |a Li, Tatsien.  |e author. 
245 1 0 |a Nonlinear Wave Equations  |h [electronic resource] /  |c by Tatsien Li, Yi Zhou. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2017. 
300 |a XVI, 391 p. 2 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Series in Contemporary Mathematics,  |x 2364-009X ;  |v 2 
505 0 |a Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function. 
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. 
650 0 |a Mathematics. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Partial differential equations. 
650 0 |a Calculus of variations. 
650 1 4 |a Mathematics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Difference and Functional Equations. 
650 2 4 |a Calculus of Variations and Optimal Control; Optimization. 
700 1 |a Zhou, Yi.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783662557235 
830 0 |a Series in Contemporary Mathematics,  |x 2364-009X ;  |v 2 
856 4 0 |u http://dx.doi.org/10.1007/978-3-662-55725-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)