메뉴 건너뛰기




Volumn 43, Issue 2, 2006, Pages 283-326

Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33748525858     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (17)
  • 1
    • 0001779925 scopus 로고    scopus 로고
    • The null condition and global existence of solutions to systems of wave equations with different speeds
    • Advances in Nonlinear Partial Differential Equations and Stochastics, S. Kawashima and T. Yanagisawa (Eds.), World Scientific
    • R. Agemi and K. Yokoyama: The null condition and global existence of solutions to systems of wave equations with different speeds; in Advances in Nonlinear Partial Differential Equations and Stochastics, S. Kawashima and T. Yanagisawa (Eds.), Series on Adv. Math. for Appl. Sci. 48, World Scientific, 1998, 43-86.
    • (1998) Series on Adv. Math. for Appl. Sci. , vol.48 , pp. 43-86
    • Agemi, R.1    Yokoyama, K.2
  • 2
    • 0000075305 scopus 로고
    • Existence of a global solution to a semi-linear wave equation with slowly decreasing initial data in three space dimensions
    • F. Asakura: Existence of a global solution to a semi-linear wave equation with slowly decreasing initial data in three space dimensions, Comm. in Partial Differential Equations 11 (1986), 1459-1487.
    • (1986) Comm. in Partial Differential Equations , vol.11 , pp. 1459-1487
    • Asakura, F.1
  • 3
    • 84990602498 scopus 로고
    • Global solutions of nonlinear hyperbolic equations for small initial data
    • D. Christodoulou: Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math. 39 (1986), 267-282.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 267-282
    • Christodoulou, D.1
  • 4
    • 33748521329 scopus 로고    scopus 로고
    • The global existence theorem for quasi-linear wave equations with multiple speeds
    • K. Hidano: The global existence theorem for quasi-linear wave equations with multiple speeds, Hokkaido Math. J. 33 (2004), 607-636.
    • (2004) Hokkaido Math. J. , vol.33 , pp. 607-636
    • Hidano, K.1
  • 6
    • 10944272217 scopus 로고    scopus 로고
    • Global existence for a class of systems of nonlinear wave equations in three space dimensions
    • S. Katayama: Global existence for a class of systems of nonlinear wave equations in three space dimensions, Chinese Ann. Math. 25B (2004), 463-482.
    • (2004) Chinese Ann. Math. , vol.25 B , pp. 463-482
    • Katayama, S.1
  • 7
    • 10944232882 scopus 로고    scopus 로고
    • Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds
    • S. Katayama: Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds, Diff. Integral Eqs. 17 (2004), 1043-1078.
    • (2004) Diff. Integral Eqs. , vol.17 , pp. 1043-1078
    • Katayama, S.1
  • 8
    • 10944273264 scopus 로고    scopus 로고
    • Global existence for systems of wave equations with nonresonant nonlinearities and null forms
    • S. Katayama: Global existence for systems of wave equations with nonresonant nonlinearities and null forms, J. Differential Equations 209 (2005), 140-171.
    • (2005) J. Differential Equations , vol.209 , pp. 140-171
    • Katayama, S.1
  • 9
    • 0000870142 scopus 로고
    • The null condition and global existence to nonlinear wave equations
    • S. Klainerman: The null condition and global existence to nonlinear wave equations, Lectures in Appl. Math. 23 (1986), 293-326.
    • (1986) Lectures in Appl. Math. , vol.23 , pp. 293-326
    • Klainerman, S.1
  • 10
    • 0030549709 scopus 로고    scopus 로고
    • On almost global existence for nonrelativistic wave equations in 3D
    • S. Klainerman and T.C. Sideris: On almost global existence for nonrelativistic wave equations in 3D, Comm. Pure Appl. Math. 49 (1996), 307-321.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 307-321
    • Klainerman, S.1    Sideris, T.C.2
  • 11
    • 38249022216 scopus 로고
    • Resonance-type behaviour in a system of nonlinear wave equations
    • M. Kovalyov: Resonance-type behaviour in a system of nonlinear wave equations, J. Differential Equations 77 (1989), 73-83.
    • (1989) J. Differential Equations , vol.77 , pp. 73-83
    • Kovalyov, M.1
  • 12
    • 10944260665 scopus 로고    scopus 로고
    • Global existence of classical solutions to systems of nonlinear wave equations with different speeds of propagation
    • K. Kubota and K. Yokoyama: Global existence of classical solutions to systems of nonlinear wave equations with different speeds of propagation, Japanese J. Math. 27 (2001), 113-202.
    • (2001) Japanese J. Math. , vol.27 , pp. 113-202
    • Kubota, K.1    Yokoyama, K.2
  • 13
    • 84990578237 scopus 로고
    • On the lifespan of solutions of nonlinear wave equations with small initial data
    • H. Lindblad: On the lifespan of solutions of nonlinear wave equations with small initial data, Comm. Pure Appl. Math. 43 (1990), 445-472.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 445-472
    • Lindblad, H.1
  • 14
    • 33748544360 scopus 로고    scopus 로고
    • Counterexample to global existence for system of nonlinear wave equations with different propagation speeds
    • M. Ohta: Counterexample to global existence for system of nonlinear wave equations with different propagation speeds, Funkcialaj Ekvacioj, 46 (2003), 471-477.
    • (2003) Funkcialaj Ekvacioj , vol.46 , pp. 471-477
    • Ohta, M.1
  • 15
    • 0036050729 scopus 로고    scopus 로고
    • Global existence for systems of nonlinear wave equations in 3D with multiple speeds
    • T.C. Sideris and Shun-Yi Tu: Global existence for systems of nonlinear wave equations in 3D with multiple speeds, SIAM J. Math. Anal. 33 (2001), 477-488.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 477-488
    • Sideris, T.C.1    Tu, S.-Y.2
  • 16
    • 0346123238 scopus 로고    scopus 로고
    • Global existence for nonlinear wave equations with multiple speeds
    • Harmonic Analysis at Mount Holyoke, W. Beckner et al. (Eds.), Amer. Math. Soc., Providence, RI
    • C.D. Sogge: Global existence for nonlinear wave equations with multiple speeds; in Harmonic Analysis at Mount Holyoke, W. Beckner et al. (Eds.), Contemp. Math. 320, Amer. Math. Soc., Providence, RI, 2003, 353-366.
    • (2003) Contemp. Math. , vol.320 , pp. 353-366
    • Sogge, C.D.1
  • 17
    • 0001321428 scopus 로고    scopus 로고
    • Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
    • K. Yokoyama: Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions, J. Math. Soc. Japan 52 (2000), 609-632.
    • (2000) J. Math. Soc. Japan , vol.52 , pp. 609-632
    • Yokoyama, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.