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Volumn 60, Issue 1, 1999, Pages 1-10

Global existence of solutions to degenerate wave equations with dissipative terms

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EID: 0033177393     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s000497270003327x     Document Type: Article
Times cited : (2)

References (20)
  • 1
    • 84988144249 scopus 로고
    • On the mildly degenerate Kirchhoff string
    • A. Arosio and S. Gravaldi, 'On the mildly degenerate Kirchhoff string', Math. Methods Appl. Sci. 14 (1991), 177-195.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 177-195
    • Arosio, A.1    Gravaldi, S.2
  • 2
    • 0002549097 scopus 로고
    • Global solutions to the Cauchy problem for a nonlinear hyperbolic equation
    • (H. Brezis and J. L. Lions, Editors), Collège de France seminar Pitman, Boston
    • A. Arosio and S. Spagnolo, 'Global solutions to the Cauchy problem for a nonlinear hyperbolic equation', in Nonlinear PDE and their applications, (H. Brezis and J. L. Lions, Editors), Collège de France seminar 6 (Pitman, Boston, 1984), pp. 1-26.
    • (1984) Nonlinear PDE and Their Applications , vol.6 , pp. 1-26
    • Arosio, A.1    Spagnolo, S.2
  • 3
    • 0002776421 scopus 로고
    • Sur une classe d'équations fonctionnelles aux dérivées partielles
    • B. Bernstein, 'Sur une classe d'équations fonctionnelles aux dérivées partielles', Izv. Akad. USSR Ser. Mat. 4 (1940), 17-26.
    • (1940) Izv. Akad. USSR Ser. Mat. , vol.4 , pp. 17-26
    • Bernstein, B.1
  • 4
    • 0000236051 scopus 로고
    • On local solutions of some mildly degenerate hyperbolic equations
    • H.R. Grippa, 'On local solutions of some mildly degenerate hyperbolic equations', Nonlinear Anal. 21 (1993), 565-574.
    • (1993) Nonlinear Anal. , vol.21 , pp. 565-574
    • Grippa, H.R.1
  • 5
    • 84988201476 scopus 로고
    • On global solvability of non-linear viscoelastic equations in the analytic category
    • P. D'Ancona and Y. Shibata, 'On global solvability of non-linear viscoelastic equations in the analytic category', Math. Methods Appl. Sci. 17 (1994), 477-489.
    • (1994) Math. Methods Appl. Sci. , vol.17 , pp. 477-489
    • D'Ancona, P.1    Shibata, Y.2
  • 6
    • 0039095104 scopus 로고
    • Global solvability for the degenerate Kirchhoff equation with real analytic data
    • P. D'Ancona and S. Spagnolo, 'Global solvability for the degenerate Kirchhoff equation with real analytic data', Invent. Math. 108 (1992), 247-262.
    • (1992) Invent. Math. , vol.108 , pp. 247-262
    • D'Ancona, P.1    Spagnolo, S.2
  • 7
    • 0003233686 scopus 로고
    • On an abstract weakly hyperbolic equation modelling the nonlinear vibration string
    • (G. Buttazo and G. P. Galdi, Editors) Plenum Press, New York
    • P. D'Ancona and S. Spagnolo, 'On an abstract weakly hyperbolic equation modelling the nonlinear vibration string', in Developement in partial differential equations and applications to mathematical physics, (G. Buttazo and G. P. Galdi, Editors) (Plenum Press, New York, 1992), pp. 27-32.
    • (1992) Developement in Partial Differential Equations and Applications to Mathematical Physics , pp. 27-32
    • D'Ancona, P.1    Spagnolo, S.2
  • 8
    • 0014825090 scopus 로고
    • Infinite systems of nonlinear oscillation equation with linear damping
    • R.W. Dickey, 'Infinite systems of nonlinear oscillation equation with linear damping', SIAM J. Appl. Math. 19 (1970), 208-214.
    • (1970) SIAM J. Appl. Math. , vol.19 , pp. 208-214
    • Dickey, R.W.1
  • 9
    • 38249042627 scopus 로고
    • Local solutions for a nonlinear degenerate hyperbolic equation
    • Y. Ebihara, L.A. Medeiros and M.M. Miranda, 'Local solutions for a nonlinear degenerate hyperbolic equation', Nonlinear Anal. 10 (1986), 27-40.
    • (1986) Nonlinear Anal. , vol.10 , pp. 27-40
    • Ebihara, Y.1    Medeiros, L.A.2    Miranda, M.M.3
  • 11
    • 0001376640 scopus 로고
    • Solutions for the equation of nonlinear vibrations in Sobolev spaces of fractionary order
    • L.A. Medeiros and M.M. Miranda, 'Solutions for the equation of nonlinear vibrations in Sobolev spaces of fractionary order', Comput. Appl. Math. 6 (1987), 257-267.
    • (1987) Comput. Appl. Math. , vol.6 , pp. 257-267
    • Medeiros, L.A.1    Miranda, M.M.2
  • 12
    • 44649128106 scopus 로고
    • On classical solutions of a quasilinear hyperbolic equation
    • G.P. Menzala, 'On classical solutions of a quasilinear hyperbolic equation', Nonlinear Anal. 3 (1979), 613-627.
    • (1979) Nonlinear Anal. , vol.3 , pp. 613-627
    • Menzala, G.P.1
  • 13
    • 0009317916 scopus 로고    scopus 로고
    • Decay properties of solutions to degenerate wave equations with dissipative terms
    • T. Mizumachi, 'Decay properties of solutions to degenerate wave equations with dissipative terms', Adv. Differential Equations 4 (1997), 573-592.
    • (1997) Adv. Differential Equations , vol.4 , pp. 573-592
    • Mizumachi, T.1
  • 14
    • 84972531349 scopus 로고
    • A difference inequality and its application to nonlinear evolution equations
    • M. Nakao, 'A difference inequality and its application to nonlinear evolution equations', J. Math. Soc. Japan 30 (1978), 747-762.
    • (1978) J. Math. Soc. Japan , vol.30 , pp. 747-762
    • Nakao, M.1
  • 15
    • 84972528332 scopus 로고
    • On a global solution of some quasilinear hyperbolic equation
    • K. Nishihara, 'On a global solution of some quasilinear hyperbolic equation', Tokyo J. Math. 7 (1984), 437-459.
    • (1984) Tokyo J. Math. , vol.7 , pp. 437-459
    • Nishihara, K.1
  • 16
    • 0001185455 scopus 로고
    • On global solutions of some degenerate quasilinear hyperbolic equations with dissipative terms
    • K. Nishihara and Y. Yamada, 'On global solutions of some degenerate quasilinear hyperbolic equations with dissipative terms', Funkcial. Ekvac. 33 (1990), 151-159.
    • (1990) Funkcial. Ekvac. , vol.33 , pp. 151-159
    • Nishihara, K.1    Yamada, Y.2
  • 17
    • 77952718116 scopus 로고
    • On a class of quasilinear hyperbolic equations
    • S.I. Pozohaev, 'On a class of quasilinear hyperbolic equations', Math. USSR-Sb. 25 (1975), 145-158.
    • (1975) Math. USSR-Sb. , vol.25 , pp. 145-158
    • Pozohaev, S.I.1
  • 18
    • 0002825809 scopus 로고
    • On local strong solutions of a nonlinear PDE
    • J.E.M. Rivera, 'On local strong solutions of a nonlinear PDE', Appl. Anal. 10 (1980), 93-104.
    • (1980) Appl. Anal. , vol.10 , pp. 93-104
    • Rivera, J.E.M.1
  • 19
    • 38249036775 scopus 로고
    • Some nonlinear degenerate wave equations
    • Y. Yamada, 'Some nonlinear degenerate wave equations', Nonlinear Anal. 11 (1987), 1155-1168.
    • (1987) Nonlinear Anal. , vol.11 , pp. 1155-1168
    • Yamada, Y.1
  • 20
    • 0000380641 scopus 로고
    • On local solutions of some quasilinear degenerate hyperbolic equations
    • T. Yamazaki, 'On local solutions of some quasilinear degenerate hyperbolic equations', Funkcial. Ekvac. 31 (1988), 439-457.
    • (1988) Funkcial. Ekvac. , vol.31 , pp. 439-457
    • Yamazaki, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.