메뉴 건너뛰기




Volumn 24, Issue 1-2, 1999, Pages 185-221

Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0008059852     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309908821420     Document Type: Article
Times cited : (44)

References (25)
  • 3
    • 0002486767 scopus 로고
    • Global classical solutions of non-linear wave equations
    • P. Brenner and W. von Wahl, Global classical solutions of non-linear wave equations, Math. Z. 176 (1981), 87-121.
    • (1981) Math. Z. , vol.176 , pp. 87-121
    • Brenner, P.1    Von Wahl, W.2
  • 4
    • 0009108258 scopus 로고
    • On nonlinear wave equations
    • F. E. Browder, On nonlinear wave equations, Math. Z. 80 (1962), 249-264.
    • (1962) Math. Z. , vol.80 , pp. 249-264
    • Browder, F.E.1
  • 5
    • 0003000536 scopus 로고
    • The global cauchy problem for the critical non-linear wave equation
    • J. Ginibre, A. Soffer, and G. Velo, The global Cauchy problem for the critical non-linear wave equation, J. Funct. Anal. 110 (1992), 96-130.
    • (1992) J. Funct. Anal. , vol.110 , pp. 96-130
    • Ginibre, J.1    Soffer, A.2    Velo, G.3
  • 6
    • 0007386120 scopus 로고
    • The global Cauchy problem for the non-linear Klein-Gordon equation, II
    • J. Ginibre, and G. Velo, The global Cauchy problem for the non-linear Klein-Gordon equation, II, Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), 15-35.
    • (1989) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.6 , pp. 15-35
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0000354966 scopus 로고
    • Scattering theory in the energy space for a class of non-linear wave equations
    • J. Ginibre, and G. Velo, Scattering theory in the energy space for a class of non-linear wave equations, Commun. Math. Phys. 123 (1989), 535-573.
    • (1989) Commun. Math. Phys. , vol.123 , pp. 535-573
    • Ginibre, J.1    Velo, G.2
  • 8
    • 0000026775 scopus 로고
    • Regularity and asymptotic behavior of the wave equation with a critical nonlinearity
    • M. Grillakis, Regularity and asymptotic behavior of the wave equation with a critical nonlinearity, Ann. of Math. 132 (1990), 485-509.
    • (1990) Ann. of Math. , vol.132 , pp. 485-509
    • Grillakis, M.1
  • 9
    • 84990574949 scopus 로고
    • Regularity for the wave equation with a critical nonlinearity
    • M. Grillakis, Regularity for the wave equation with a critical nonlinearity, Comm. Pure Appl. Math. 45 (1992), 749-774.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 749-774
    • Grillakis, M.1
  • 10
    • 0003186923 scopus 로고
    • Zu einem satz von F.E. Browder über nichtlineare Wellengleichungen
    • E. Heinz and W. von Wahl, Zu einem Satz von F.E. Browder über nichtlineare Wellengleichungen, Math. Z. 141 (1975), 33-45.
    • (1975) Math. Z. , vol.141 , pp. 33-45
    • Heinz, E.1    Von Wahl, W.2
  • 11
    • 0000737883 scopus 로고
    • Das anfangswertproblem im grossen für eine klasse nichtlinearer wellengleichungen
    • K. Jörgens, Das Anfangswertproblem im Grossen für eine Klasse nichtlinearer Wellengleichungen, Math. Z. 77 (1961), 295-308.
    • (1961) Math. Z. , vol.77 , pp. 295-308
    • Jörgens, K.1
  • 12
    • 0039883674 scopus 로고
    • The Cauchy problem for a semilinear wave equation, III
    • L. Kapitanski, The Cauchy problem for a semilinear wave equation, III, J. Soviet. Math 62 (1992). no. 2, 2619-2645.
    • (1992) J. Soviet. Math , vol.62 , Issue.2 , pp. 2619-2645
    • Kapitanski, L.1
  • 13
    • 0000119567 scopus 로고
    • Global and unique weak solutions of nonlinear wave equations
    • L. Kapitanski, Global and unique weak solutions of nonlinear wave equations, Math. Res. Lett. 1 (1994), 211-223.
    • (1994) Math. Res. Lett. , vol.1 , pp. 211-223
    • Kapitanski, L.1
  • 15
    • 0000408939 scopus 로고
    • Time decay for the non linear Klein-Gordon equation
    • C. Morawetz, Time decay for the non linear Klein-Gordon equation, Proc. Roy. Soc. London Ser. A 306 (1968), 291-296.
    • (1968) Proc. Roy. Soc. London Ser. A , vol.306 , pp. 291-296
    • Morawetz, C.1
  • 16
    • 0000895637 scopus 로고
    • P-Abschätzungen und klassische lösungen für nichtlineare Wellengleichungen
    • P-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen, Math. Z. 150 (1976), 159-183.
    • (1976) Math. Z. , vol.150 , pp. 159-183
    • Pecher, H.1
  • 17
    • 0001284137 scopus 로고
    • Nonlinear small data scattering for the wave and Klein-Gordon equations
    • H. Pecher, Nonlinear small data scattering for the wave and Klein-Gordon equations, Math. Z. 185 (1984), 261-270.
    • (1984) Math. Z. , vol.185 , pp. 261-270
    • Pecher, H.1
  • 18
    • 0039883669 scopus 로고
    • 5 Klein-Gordon equation, non linear partial differential equations and their applications
    • (H. Brezis and J. L. Lions, eds.). Collège de France Seminar, Longman, Harlow
    • 5 Klein-Gordon equation, Non Linear Partial Differential Equations and Their Applications (H. Brezis and J. L. Lions, eds.). Pitman Res. Notes in Math., vol. 53, Collège de France Seminar, Longman, Harlow, 1980, pp. 335-364.
    • (1980) Pitman Res. Notes in Math. , vol.53 , pp. 335-364
    • Rauch, J.1
  • 19
    • 0001002549 scopus 로고
    • The global cauchy problem for a relativistic scalar field with power interaction
    • I. E. Segal, The global Cauchy problem for a relativistic scalar field with power interaction, Bull. Soc. Math. France 91 (1963), 129-135.
    • (1963) Bull. Soc. Math. France , vol.91 , pp. 129-135
    • Segal, I.E.1
  • 20
    • 0001597155 scopus 로고
    • Regularity results for nonlinear wave equations
    • J. Shatah and M. Struwe, Regularity results for nonlinear wave equations, Ann. of Math. 138 (1993), 503-518.
    • (1993) Ann. of Math. , vol.138 , pp. 503-518
    • Shatah, J.1    Struwe, M.2
  • 22
    • 0009234413 scopus 로고
    • On weak solutions of semilinear hyperbolic equations
    • W. Strauss, On weak solutions of semilinear hyperbolic equations, An. Acad. Brasil. Cienc. 42 (1970), 645-651.
    • (1970) An. Acad. Brasil. Cienc. , vol.42 , pp. 645-651
    • Strauss, W.1
  • 23
    • 0003353148 scopus 로고
    • Nonlinear wave equations
    • Amer. Math. Soc. Providence, RI
    • W. Strauss, Nonlinear wave equations. CBMS Lecture Notes, vol. 73, Amer. Math. Soc. Providence, RI, 1989.
    • (1989) CBMS Lecture Notes , vol.73
    • Strauss, W.1
  • 25
    • 0003295738 scopus 로고
    • Theory of function spaces
    • Birkhaüser, Basel/Boston/Stuttgart
    • H. Triebel, Theory of function spaces, Monographs in Mathematics, vol. 78, Birkhaüser, Basel/Boston/Stuttgart, 1983.
    • (1983) Monographs in Mathematics , vol.78
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.