메뉴 건너뛰기




Volumn 252, Issue 1, 2012, Pages 168-180

Existence and uniqueness of energy solution to Klein-Gordon-Schrödinger equations

Author keywords

Existence; Finite energy solution; KGS equations; Nonlinear; Uniqueness

Indexed keywords


EID: 80054104389     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2011.09.025     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0002728548 scopus 로고
    • On the interaction of elementary particles I
    • Yukawa H. On the interaction of elementary particles I. Proc. Phys.-Math. Soc. Japan 1935, 17:48-57.
    • (1935) Proc. Phys.-Math. Soc. Japan , vol.17 , pp. 48-57
    • Yukawa, H.1
  • 2
    • 77249140319 scopus 로고
    • Global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • Hayashi N. Global strong solutions of coupled Klein-Gordon-Schrödinger equations. Funkcial. Ekvac. 1986, 29:299-307.
    • (1986) Funkcial. Ekvac. , vol.29 , pp. 299-307
    • Hayashi, N.1
  • 3
    • 0345943684 scopus 로고
    • On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions
    • Fukuda I., Tsutsumi M. On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions. Proc. Japan Acad. 1975, 51:402-405.
    • (1975) Proc. Japan Acad. , vol.51 , pp. 402-405
    • Fukuda, I.1    Tsutsumi, M.2
  • 5
    • 77956906703 scopus 로고
    • The Cauchy problem for the coupled Schrödinger-Klein-Gordon equations
    • North-Holland, Amsterdam, G.M. de La Penha, L.A. Medeiros (Eds.)
    • Baillon J.B., Chadam J.M. The Cauchy problem for the coupled Schrödinger-Klein-Gordon equations. CDCPDE 1978, 37-44. North-Holland, Amsterdam. G.M. de La Penha, L.A. Medeiros (Eds.).
    • (1978) CDCPDE , pp. 37-44
    • Baillon, J.B.1    Chadam, J.M.2
  • 6
    • 0007093081 scopus 로고
    • Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling
    • Biler P. Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. SIAM J. Math. Anal. 1990, 21:1190-1212.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1190-1212
    • Biler, P.1
  • 7
    • 12444332518 scopus 로고
    • Asymptotic behavior of coupled Klein-Gordon-Schrödinger equations
    • Guo B., Miao C.X. Asymptotic behavior of coupled Klein-Gordon-Schrödinger equations. Sci. China Ser. A 1995, 25:705-714.
    • (1995) Sci. China Ser. A , vol.25 , pp. 705-714
    • Guo, B.1    Miao, C.X.2
  • 8
    • 0030212514 scopus 로고    scopus 로고
    • Stability of stationary states for the coupled Klein-Gordon-Schrödinger equations
    • Ohta M. Stability of stationary states for the coupled Klein-Gordon-Schrödinger equations. Nonlinear Anal. 1996, 27:455-461.
    • (1996) Nonlinear Anal. , vol.27 , pp. 455-461
    • Ohta, M.1
  • 9
    • 0037673448 scopus 로고    scopus 로고
    • Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations
    • Guo B., Li Y. Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations. J. Math. Anal. Appl. 2003, 282:256-265.
    • (2003) J. Math. Anal. Appl. , vol.282 , pp. 256-265
    • Guo, B.1    Li, Y.2
  • 10
  • 11
    • 84972538859 scopus 로고
    • On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • Hsyashi N., Von Wahl W. On the global strong solutions of coupled Klein-Gordon-Schrödinger equations. J. Math. Soc. Japan 1987, 39:489-497.
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 489-497
    • Hsyashi, N.1    Von Wahl, W.2
  • 12
    • 33646703346 scopus 로고    scopus 로고
    • Global solutions of the Klein-Gordon-Schrödinger system with rough data in R2+1
    • Miao C., Xu G. Global solutions of the Klein-Gordon-Schrödinger system with rough data in R2+1. J. Differential Equations 2006, 227:365-405.
    • (2006) J. Differential Equations , vol.227 , pp. 365-405
    • Miao, C.1    Xu, G.2
  • 16
    • 77952261331 scopus 로고    scopus 로고
    • Wellposedness for the nonlinear Klein-Gordon-Schröinger equations with heterointeractions
    • Shi Q., Wang S., Li Y., Wang C. Wellposedness for the nonlinear Klein-Gordon-Schröinger equations with heterointeractions. J. Math. Phys. 2010, 51:032102.
    • (2010) J. Math. Phys. , vol.51 , pp. 032102
    • Shi, Q.1    Wang, S.2    Li, Y.3    Wang, C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.