메뉴 건너뛰기




Volumn 51, Issue 3, 2010, Pages

Well posedness for the nonlinear Klein-Gordon-Schrödinger equations with heterointeractions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77952261331     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3317646     Document Type: Article
Times cited : (14)

References (25)
  • 2
    • 0007093081 scopus 로고
    • Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling
    • SJMAAH, 0036-1410, 10.1137/0521065.
    • Biler P. Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. SIAM J. Math. Anal. 1990, 21:1190. SJMAAH, 0036-1410, 10.1137/0521065.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1190
    • Biler, P.1
  • 3
    • 44449148736 scopus 로고    scopus 로고
    • Uniform decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping
    • 1021-9722, 10.1007/s00030-007-6025-9.
    • Bisognin V. Cavalcanti M.M. Domingos Cavalcanti V.N. Soriano J. Uniform decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. NoDEA 2008, 15:91. 1021-9722, 10.1007/s00030-007-6025-9.
    • (2008) NoDEA , vol.15 , pp. 91
    • Bisognin, V.1    Cavalcanti, M.M.2    Domingos Cavalcanti, V.N.3    Soriano, J.4
  • 4
    • 0000643677 scopus 로고
    • On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
    • MAZEAX, 0025-5874, 10.1007/BF01174891.
    • Brenner P. On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Math. Z. 1984, 186:383. MAZEAX, 0025-5874, 10.1007/BF01174891.
    • (1984) Math. Z. , vol.186 , pp. 383
    • Brenner, P.1
  • 5
    • 0348246754 scopus 로고    scopus 로고
    • Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations
    • 10.1007/PL00001426, 1021-9722.
    • Cavalcanti M.M. Cavalcanti V.N. D. Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations. NoDEA 2000, 7:285. 10.1007/PL00001426, 1021-9722.
    • (2000) NoDEA , vol.7 , pp. 285
    • Cavalcanti, M.M.1    Cavalcanti V.N., D.2
  • 6
    • 0036115549 scopus 로고    scopus 로고
    • On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
    • CPMAMV, 0010-3640, 10.1002/cpa.10029.
    • Chae D. On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. Commun. Pure Appl. Math. 2002, 55:654. CPMAMV, 0010-3640, 10.1002/cpa.10029.
    • (2002) Commun. Pure Appl. Math. , vol.55 , pp. 654
    • Chae, D.1
  • 8
    • 0345943684 scopus 로고
    • On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions
    • PJACAW, 0021-4280, 10.3792/pja/1195518563.
    • Fukuda I. Tsutsumi M. On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions. Proc. Jpn. Acad. 1975, 51:402. PJACAW, 0021-4280, 10.3792/pja/1195518563.
    • (1975) Proc. Jpn. Acad. , vol.51 , pp. 402
    • Fukuda, I.1    Tsutsumi, M.2
  • 9
    • 58149363006 scopus 로고
    • Generalized Strichartz inequalities for the wave equation
    • JFUAAW, 0022-1236, 10.1006/jfan.1995.1119.
    • Ginibre J. Velo G. Generalized Strichartz inequalities for the wave equation. J. Funct. Anal. 1995, 133:50. JFUAAW, 0022-1236, 10.1006/jfan.1995.1119.
    • (1995) J. Funct. Anal. , vol.133 , pp. 50
    • Ginibre, J.1    Velo, G.2
  • 10
    • 0037673448 scopus 로고    scopus 로고
    • Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations
    • JMANAK, 0022-247X, 10.1016/S0022-247X(03)00152-5.
    • Li Y. Guo B. Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations. J. Math. Anal. Appl. 2003, 282:256. JMANAK, 0022-247X, 10.1016/S0022-247X(03)00152-5.
    • (2003) J. Math. Anal. Appl. , vol.282 , pp. 256
    • Li, Y.1    Guo, B.2
  • 11
    • 12444332518 scopus 로고
    • Asymptotic behavior of coupled Klein-Gordon-Schrödinger equations
    • SCASEY, 1001-6511.
    • Guo B. Miao C.X. Asymptotic behavior of coupled Klein-Gordon-Schrödinger equations. Sci. China, Ser. A: Math., Phys., Astron. Technol. Sci. 1995, 25:705. SCASEY, 1001-6511.
    • (1995) Sci. China, Ser. A: Math., Phys., Astron. Technol. Sci. , vol.25 , pp. 705
    • Guo, B.1    Miao, C.X.2
  • 12
    • 77249140319 scopus 로고
    • Global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • FESIAT, 0532-8721.
    • Hayashi N. Global strong solutions of coupled Klein-Gordon-Schrödinger equations. Funkc. Ekvac. 1986, 29:299. FESIAT, 0532-8721.
    • (1986) Funkc. Ekvac. , vol.29 , pp. 299
    • Hayashi, N.1
  • 13
    • 84972538859 scopus 로고
    • On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • NISUBC, 0025-5645, 10.2969/jmsj/03930489.
    • Hayashi N. Von Wahl W. On the global strong solutions of coupled Klein-Gordon-Schrödinger equations. J. Math. Soc. Jpn. 1987, 39:489. NISUBC, 0025-5645, 10.2969/jmsj/03930489.
    • (1987) J. Math. Soc. Jpn. , vol.39 , pp. 489
    • Hayashi, N.1    Von Wahl, W.2
  • 14
    • 23244445177 scopus 로고    scopus 로고
    • Existence and uniqueness of the solution to the modified Schrödinger map
    • ZZZZZZ, 1073-2780.
    • Kato J. Existence and uniqueness of the solution to the modified Schrödinger map. Math. Res. Lett. 2005, 12:171. ZZZZZZ, 1073-2780.
    • (2005) Math. Res. Lett. , vol.12 , pp. 171
    • Kato, J.1
  • 15
    • 0000744112 scopus 로고
    • Linear evolution equations of "hyperbolic" type
    • JFTMAT, 0368-2269.
    • Kato T. Linear evolution equations of hyperbolic type. J. Fac. Sci., Univ. Tokyo, Sect. 1 1970, 17:241. JFTMAT, 0368-2269.
    • (1970) J. Fac. Sci., Univ. Tokyo, Sect. 1 , vol.17 , pp. 241
    • Kato, T.1
  • 18
    • 33646703346 scopus 로고    scopus 로고
    • Global solutions of the Klein-Gordon-Schrödinger system with rough data in R2+1
    • JDEQAK, 0022-0396, 10.1016/j.jde.2005.10.012.
    • Miao C. Xu G. Global solutions of the Klein-Gordon-Schrödinger system with rough data in R2+1. J. Differ. Equations 2006, 227:365. JDEQAK, 0022-0396, 10.1016/j.jde.2005.10.012.
    • (2006) J. Differ. Equations , vol.227 , pp. 365
    • Miao, C.1    Xu, G.2
  • 19
    • 35348896598 scopus 로고    scopus 로고
    • Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations
    • CMPHAY, 0010-3616, 10.1007/s00220-007-0337-9.
    • Nakamura M. Wada T. Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations. Commun. Math. Phys. 2007, 276:315. CMPHAY, 0010-3616, 10.1007/s00220-007-0337-9.
    • (2007) Commun. Math. Phys. , vol.276 , pp. 315
    • Nakamura, M.1    Wada, T.2
  • 20
    • 21244462248 scopus 로고    scopus 로고
    • Local well-posedness for the Maxwell-Schrödinger equations
    • MAANA3, 0025-5831, 10.1007/s00208-005-0637-3.
    • Nakamura M. Wada T. Local well-posedness for the Maxwell-Schrödinger equations. Math. Ann. 2005, 332:565. MAANA3, 0025-5831, 10.1007/s00208-005-0637-3.
    • (2005) Math. Ann. , vol.332 , pp. 565
    • Nakamura, M.1    Wada, T.2
  • 21
    • 0030212514 scopus 로고    scopus 로고
    • Stability of stationary states for the coupled Klein-Gordon-Schrödinger equations
    • NOANDD, 0362-546X, 10.1016/0362-546X(95)00017-P.
    • Ohta M. Stability of stationary states for the coupled Klein-Gordon-Schrödinger equations. Nonlinear Anal. Theory, Methods Appl. 1996, 27:455. NOANDD, 0362-546X, 10.1016/0362-546X(95)00017-P.
    • (1996) Nonlinear Anal. Theory, Methods Appl. , vol.27 , pp. 455
    • Ohta, M.1
  • 22
    • 0011693978 scopus 로고
    • Asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations
    • Ozawa T. Tsutsum Y. Asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations. Adv. Stud. Pure Math. 1994, 23:295.
    • (1994) Adv. Stud. Pure Math. , vol.23 , pp. 295
    • Ozawa, T.1    Tsutsum, Y.2
  • 23
    • 0001737998 scopus 로고    scopus 로고
    • Solutions of semilinear Schrödinger equations in Hs
    • AHPAAO, 0020-2339.
    • Pecher H. Solutions of semilinear Schrödinger equations in Hs. Ann. Inst. Henri Poincare, Sect. A 1997, 67:259. AHPAAO, 0020-2339.
    • (1997) Ann. Inst. Henri Poincare, Sect. A , vol.67 , pp. 259
    • Pecher, H.1
  • 24
    • 84972553620 scopus 로고
    • Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
    • DUMJAO, 0012-7094, 10.1215/S0012-7094-77-04430-1.
    • Strichartz R. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math. J. 1977, 44:705. DUMJAO, 0012-7094, 10.1215/S0012-7094-77-04430-1.
    • (1977) Duke Math. J. , vol.44 , pp. 705
    • Strichartz, R.1
  • 25
    • 0002728548 scopus 로고
    • On the interaction of elementary particles I
    • Yukawa H. On the interaction of elementary particles I. Proc. Physico-Math. Soc. Japan 1935, 17:48.
    • (1935) Proc. Physico-Math. Soc. Japan , vol.17 , pp. 48
    • Yukawa, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.