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Volumn 2, Issue 2, 1996, Pages 173-190

On the critical decay and power for semilinear wave equations in odd space dimensions

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EID: 0000600862     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1996.2.173     Document Type: Article
Times cited : (31)

References (24)
  • 1
    • 84972499890 scopus 로고
    • The lifespan of classical solutions to nonlinear wave equations in two space dimensions
    • R. Agemi and H. Takamura, The lifespan of classical solutions to nonlinear wave equations in two space dimensions, Hokkaido Math. J. 21 (1992), 517-542.
    • (1992) Hokkaido Math. J. , vol.21 , pp. 517-542
    • Agemi, R.1    Takamura, H.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 PDE 11 (1986), 1459-1487.
    • (1986) Comm. in PDE , vol.11 , pp. 1459-1487
    • Asakura, F.1
  • 4
    • 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
  • 6
    • 0000775998 scopus 로고
    • Blow-up theorems for nonlinear wave equations
    • R.T. Glassey, Blow-up theorems for nonlinear wave equations, Math. Z. 132 (1973), 183-203.
    • (1973) Math. Z. , vol.132 , pp. 183-203
    • Glassey, R.T.1
  • 7
    • 0000775450 scopus 로고
    • Finite-time blow-up for solutions of nonlinear wave equations
    • R.T. Glassey, Finite-time blow-up for solutions of nonlinear wave equations, Math. Z. 177 (1981), 323-340.
    • (1981) Math. Z. , vol.177 , pp. 323-340
    • Glassey, R.T.1
  • 8
    • 0000337016 scopus 로고
    • Existence in the large for □u = F(u) in two space dimensions
    • R.T. Glassey, Existence in the large for □u = F(u) in two space dimensions, Math. Z. 178 (1981), 233-261.
    • (1981) Math. Z. , vol.178 , pp. 233-261
    • Glassey, R.T.1
  • 9
    • 0000774996 scopus 로고
    • Blow-up of solutions of nonlinear wave equations in three space dimensions
    • F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. 28 (1979), 235-268.
    • (1979) Manuscripta Math. , vol.28 , pp. 235-268
    • John, F.1
  • 10
    • 3042866021 scopus 로고
    • Slowly decaying solutions for semilinear wave equations in odd space dimensions
    • to appear
    • H. Kubo, Slowly decaying solutions for semilinear wave equations in odd space dimensions , to appear in Nonlinear Anal. TMA. (1994).
    • (1994) Nonlinear Anal. TMA
    • Kubo, H.1
  • 11
    • 84972511866 scopus 로고
    • p for super critical values p in odd space dimensions
    • p for super critical values p in odd space dimensions, Hokkaido Math. J. 24 (1995), 287-336.
    • (1995) Hokkaido Math. J. , vol.24 , pp. 287-336
    • Kubo, H.1    Kubota, K.2
  • 12
    • 84972517122 scopus 로고
    • Existence of a global solution to a semi-linear wave equation with initial data of non-compact support in low space dimensions
    • K. Kubota, Existence of a global solution to a semi-linear wave equation with initial data of non-compact support in low space dimensions, Hokkaido Math. J. 22 (1993), 123-180.
    • (1993) Hokkaido Math. J. , vol.22 , pp. 123-180
    • Kubota, K.1
  • 13
    • 0000166874 scopus 로고
    • Initial value problems for nonlinear wave equations
    • Li Ta-tsien and Chen Yun-mei, Initial value problems for nonlinear wave equations, Comm. in PDE 13 (1988), 383-422.
    • (1988) Comm. in PDE , vol.13 , pp. 383-422
    • Ta-tsien, L.1    Yun-mei, C.2
  • 14
    • 0001519230 scopus 로고
    • Life-span of classical solutions to fully nonlinear wave equations
    • Li Ta-tsien and Yu-Xin, Life-span of classical solutions to fully nonlinear wave equations, Comm. in PDE 16 (1991), 909-940.
    • (1991) Comm. in PDE , vol.16 , pp. 909-940
    • Ta-tsien, L.1    Yu-Xin2
  • 15
    • 0001478425 scopus 로고
    • On existence and scattering with minimal regularity for semilinear wave equations
    • Lindblad H. and Sogge C.D., On existence and scattering with minimal regularity for semilinear wave equations, J. Funct. Anal. 130 (1995), 357-426.
    • (1995) J. Funct. Anal. , vol.130 , pp. 357-426
    • Lindblad, H.1    Sogge, C.D.2
  • 18
    • 0000546412 scopus 로고
    • Nonexistence of global solutions to semilinear wave equations in high dimensions
    • T.C. Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions, J. Differential Equations 52 (1984), 378-406.
    • (1984) J. Differential Equations , vol.52 , pp. 378-406
    • Sideris, T.C.1
  • 19
    • 0001684804 scopus 로고
    • Nonlinear scattering theory at low energy
    • Strauss W.A., Nonlinear scattering theory at low energy, J. Funct. Analysis 41 (1981), 110-133.
    • (1981) J. Funct. Analysis , vol.41 , pp. 110-133
    • Strauss, W.A.1
  • 20
    • 84972527091 scopus 로고
    • Blow-up for semilinear wave equations with slowly decaying data in high dimensions
    • H. Takamura, Blow-up for semilinear wave equations with slowly decaying data in high dimensions, Differential and Integral Equations 8 (1995), 647-661.
    • (1995) Differential and Integral Equations , vol.8 , pp. 647-661
    • Takamura, H.1
  • 21
    • 0007209142 scopus 로고
    • A global existence theorem for semilinear wave equations with data of non compact support in two space dimensions
    • K. Tsutaya, A global existence theorem for semilinear wave equations with data of non compact support in two space dimensions, Comm. in PDE 17 (1992), 1925-1954.
    • (1992) Comm. in PDE , vol.17 , pp. 1925-1954
    • Tsutaya, K.1
  • 22
    • 38249000091 scopus 로고
    • Global existence theorem for semilinear wave equations with non-compact data in two space dimensions
    • K. Tsutaya, Global existence theorem for semilinear wave equations with non-compact data in two space dimensions, J. Differential Equations 104 (1993), 332-360.
    • (1993) J. Differential Equations , vol.104 , pp. 332-360
    • Tsutaya, K.1
  • 23
    • 0007210431 scopus 로고
    • Global existence and the life span of solutions of semilinear wave equations with data of non compact support in three space dimensions
    • K. Tsutaya, Global existence and the life span of solutions of semilinear wave equations with data of non compact support in three space dimensions, Funkcialaj Ekvacioj 37 (1994), 1-18.
    • (1994) Funkcialaj Ekvacioj , vol.37 , pp. 1-18
    • Tsutaya, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.