GLOBAL EXISTENCE AND ASYMPTOTIC-BEHAVIOR OF SOLUTIONS FOR THE COUPLEDKLEIN-GORDON-SCHRODINGER EQUATIONS

Authors
Citation
Bl. Guo et Cx. Miao, GLOBAL EXISTENCE AND ASYMPTOTIC-BEHAVIOR OF SOLUTIONS FOR THE COUPLEDKLEIN-GORDON-SCHRODINGER EQUATIONS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 38(12), 1995, pp. 1444-1456
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
10016511
Volume
38
Issue
12
Year of publication
1995
Pages
1444 - 1456
Database
ISI
SICI code
1001-6511(1995)38:12<1444:GEAAOS>2.0.ZU;2-N
Abstract
The final value problem for the classical coupled Klein-Gordon-Schrodi nger equations is, studied in R(1+n). This leads to the construction o f the modified wave operator R(Omega(+)) for certain scattered data. W hen initial functions belong to R(Omega(+)) which denotes the range, d omain of Omega(+), the global existence and asymptotic behavior of sol utions of Cauchy problem for the coupled Klein-Gordon-Schrodinger equa tions are proved.