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Volumn 231, Issue , 2001, Pages 105-111

Blow up in a nonlinearly damped wave equation

Author keywords

Blow up; Finite time; Negative initial energy; Noncontinuation; Nonlinear damping

Indexed keywords


EID: 0040432878     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200111)231:1<105::AID-MANA105>3.0.CO;2-I     Document Type: Article
Times cited : (137)

References (10)
  • 1
    • 0000461055 scopus 로고
    • Remarks on blow up and nonexistence theorems for nonlinear evolutions equations, quart
    • BALL, J.: Remarks on Blow Up and Nonexistence Theorems for Nonlinear Evolutions Equations, Quart. J. Math. Oxford 28 (1977), 473-486
    • (1977) J. Math. Oxford , vol.28 , pp. 473-486
    • Ball, J.1
  • 2
    • 0000028946 scopus 로고
    • Existence of solutions of the wave equation with nonlinear damping and source terms
    • GEORGIEV, V., and TODOROVA, G.: Existence of Solutions of the Wave Equation with Nonlinear Damping and Source Terms, J. Diff. Eqns. 109 (1994), 295-308
    • (1994) J. Diff. Eqns. , vol.109 , pp. 295-308
    • Georgiev, V.1
  • 3
    • 0000066849 scopus 로고
    • Decay estimates for some semilinear damped hyperbolic problems
    • HARAUX, A., and ZUAZUA, E.: Decay Estimates for Some Semilinear Damped Hyperbolic Problems, Arch. Rational Mech. Anal. 150 (1988), 191-206
    • (1988) Arch. Rational Mech. Anal. , vol.150 , pp. 191-206
    • Haraux, A.1    Zuazua, E.2
  • 4
    • 0002554581 scopus 로고
    • The occurence of collapse for quasilinear equations of parabolic and hyperbolic type
    • KALANTAROV, V. K., and LADYZHENSKAYA, O. A.: The Occurence of Collapse for Quasilinear Equations of Parabolic and Hyperbolic Type, J. Soviet Math. 10 (1978), 53-70
    • (1978) J. Soviet Math. , vol.10 , pp. 53-70
    • Kalantarov, V.K.1    Ladyzhenskaya, O.A.2
  • 5
    • 0007288229 scopus 로고
    • Remarks on bounded solutions of a semilinear dissipative hyperbolic equation
    • KOPACKOVA, M.: Remarks on Bounded Solutions of a Semilinear Dissipative Hyperbolic Equation, Comment. Math. Univ. Carolin. 30 (1989), 713-719
    • (1989) Comment. Math. Univ. Carolin. , vol.30 , pp. 713-719
    • Kopackova, M.1
  • 7
    • 0000784556 scopus 로고
    • Some additional remarks on the nonexistence of global solutions to nonlinear wave equation
    • LEVINE, H. A.: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equation, SIAM J. Math. Anal. 5 (1974), 138-146
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 138-146
    • Levine, H.A.1
  • 8
    • 0031333224 scopus 로고    scopus 로고
    • A global nonexistence theorem for quasilinear evolution equation with dissipation
    • LEVINE, H.A., and SERRIN, J.: A Global Nonexistence Theorem for Quasilinear Evolution Equation 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
    • 0001324542 scopus 로고    scopus 로고
    • Global existence and global nonexistence of solutions of the cauchy problem for a nonlinearly damped wave equation
    • LEVINE, H. A., and RO PARK, S.: Global Existence and Global Nonexistence of Solutions of the Cauchy Problem for a Nonlinearly Damped Wave Equation, J. Math. Anal. Appl. 228 (1998), 181-205
    • (1998) J. Math. Anal. Appl. , vol.228 , pp. 181-205
    • Levine, H.A.1    Ro Park, S.2
  • 10
    • 0033416133 scopus 로고    scopus 로고
    • Global nonexistence theorems for a class of evolution equations with dissipation
    • VITILARO, E.: Global Nonexistence Theorems for a Class of Evolution Equations with Dissipation, Arch. Rational Mech. Anal. 149 (1999), 155-182
    • (1999) Arch. Rational Mech. Anal. , vol.149 , pp. 155-182
    • Vitilaro, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.