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Volumn 150, Issue 1, 1998, Pages 203-214

Global Nonexistence for Abstract Evolution Equations with Positive Initial Energy

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EID: 0000418185     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3477     Document Type: Article
Times cited : (109)

References (13)
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  • 2
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    • Non-existence, instability and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elastodynamics
    • Knops R. J., Levine H. A., Payne L. E. Non-existence, instability and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elastodynamics. Archive Rational Mech. Anal. 55:1974;52-72.
    • (1974) Archive Rational Mech. Anal. , vol.55 , pp. 52-72
    • Knops, R.J.1    Levine, H.A.2    Payne, L.E.3
  • 5
    • 0000784556 scopus 로고
    • Some additional remarks on the nonexistence of global solutions to nonlinear wave equations
    • Levine H. A. Some additional remarks on the nonexistence of global solutions to nonlinear wave equations. SIAM J. Math. Anal. 5:1974;138-146.
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 138-146
    • Levine, H.A.1
  • 6
    • 0040577722 scopus 로고
    • Nonexistence of global weak solutions to nonlinear wave equations
    • London: Pitman. p. 94-104
    • Levine H. A. Nonexistence of global weak solutions to nonlinear wave equations. Improperly Posed Boundary Value Problems. Res. Notes Math. 1:1975;Pitman, London. p. 94-104.
    • (1975) Improperly Posed Boundary Value Problems Res. Notes Math. , vol.1
    • Levine, H.A.1
  • 7
    • 0000933621 scopus 로고    scopus 로고
    • Some remarks on global nonexistence for nonautonomous abstract evolution equations
    • Levine H. A., Pucci P., Serrin J. Some remarks on global nonexistence for nonautonomous abstract evolution equations. Contemp. Math. 208:1997;253-263.
    • (1997) Contemp. Math. , vol.208 , pp. 253-263
    • Levine, H.A.1    Pucci, P.2    Serrin, J.3
  • 8
    • 0031333224 scopus 로고    scopus 로고
    • Global nonexistence theorems for quasilinear evolution equations with dissipation
    • Levine H. A., Serrin J. Global nonexistence theorems for quasilinear evolution equations with dissipation. Arch. Rational Mech. Anal. 137:1997;341-361.
    • (1997) Arch. Rational Mech. Anal. , vol.137 , pp. 341-361
    • Levine, H.A.1    Serrin, J.2
  • 9
    • 0002902378 scopus 로고
    • A potential well theory for the wave equation with a nonlinear boundary condition
    • Levine H. A., Smith R. A. A potential well theory for the wave equation with a nonlinear boundary condition. J. Reine Angew. Math. 374:1987;1-23.
    • (1987) J. Reine Angew. Math. , vol.374 , pp. 1-23
    • Levine, H.A.1    Smith, R.A.2
  • 10
    • 0000366546 scopus 로고    scopus 로고
    • Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
    • Ono K. Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings. J. Differential Equations. 137:1997;273-301.
    • (1997) J. Differential Equations , vol.137 , pp. 273-301
    • Ono, K.1
  • 11
    • 0030558010 scopus 로고    scopus 로고
    • Asymptotic stability for non-autonomous dissipative wave systems
    • Pucci P., Serrin J. Asymptotic stability for non-autonomous dissipative wave systems. Comm. Pure Appl. Math. XLIX:1996;177-216.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 177-216
    • Pucci, P.1    Serrin, J.2
  • 12
    • 0032411349 scopus 로고    scopus 로고
    • Local asymptotic stability for dissipative wave systems
    • Pucci P., Serrin J. Local asymptotic stability for dissipative wave systems. Israel J. Math. 104:1998;29-50.
    • (1998) Israel J. Math. , vol.104 , pp. 29-50
    • Pucci, P.1    Serrin, J.2


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