메뉴 건너뛰기




Volumn 227, Issue 2, 2006, Pages 427-443

Global attractors for the wave equation with nonlinear damping

Author keywords

Asymptotic a priori estimate; Attractors; Critical exponent; Nonlinear damping; Wave equation

Indexed keywords


EID: 33646699348     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2005.09.010     Document Type: Article
Times cited : (59)

References (21)
  • 3
    • 2142768721 scopus 로고    scopus 로고
    • Global attractors for damped semilinear wave equations
    • Ball J.M. Global attractors for damped semilinear wave equations. Discrete Contin. Dyn. Syst. 10 (2004) 31-52
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 31-52
    • Ball, J.M.1
  • 4
    • 0038543940 scopus 로고    scopus 로고
    • Attractors for Equations of Mathematical Physics
    • Amer. Math. Soc., Providence, RI
    • Chepyzhov V.V., and Vishik M.I. Attractors for Equations of Mathematical Physics. Amer. Math. Soc. Colloq. Publ. vol. 49 (2002), Amer. Math. Soc., Providence, RI
    • (2002) Amer. Math. Soc. Colloq. Publ. , vol.49
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 5
    • 0036908993 scopus 로고    scopus 로고
    • On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation
    • Chueshov I.D., Eller M., and Lasiecka I. On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Comm. Partial Differential Equations 27 (2002) 1901-1951
    • (2002) Comm. Partial Differential Equations , vol.27 , pp. 1901-1951
    • Chueshov, I.D.1    Eller, M.2    Lasiecka, I.3
  • 6
    • 33646713606 scopus 로고    scopus 로고
    • Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation
    • Chueshov I.D., Eller M., and Lasiecka I. Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation. Bol. Soc. Parana. Mat. 22 (2004) 38-57
    • (2004) Bol. Soc. Parana. Mat. , vol.22 , pp. 38-57
    • Chueshov, I.D.1    Eller, M.2    Lasiecka, I.3
  • 7
    • 33751525020 scopus 로고    scopus 로고
    • Attractors for second-order evolution equations with nonlinear damping
    • Chueshov I., and Lasiecka I. Attractors for second-order evolution equations with nonlinear damping. J. Dynam. Differential Equations 16 2 (2004) 469-512
    • (2004) J. Dynam. Differential Equations , vol.16 , Issue.2 , pp. 469-512
    • Chueshov, I.1    Lasiecka, I.2
  • 8
    • 33646677165 scopus 로고    scopus 로고
    • Long-time behavior of second evolution equations with nonlinear damping
    • Chueshov I., and Lasiecka I. Long-time behavior of second evolution equations with nonlinear damping. Math. Scuola Norm. Sup. (2004)
    • (2004) Math. Scuola Norm. Sup.
    • Chueshov, I.1    Lasiecka, I.2
  • 9
    • 34248227730 scopus 로고
    • Attractors for wave equations with nonlinear dissipation and critical exponents
    • Feireisl E. Attractors for wave equations with nonlinear dissipation and critical exponents. C. R. Acad. Sci. Paris Sér. I 315 (1992) 551-555
    • (1992) C. R. Acad. Sci. Paris Sér. I , vol.315 , pp. 551-555
    • Feireisl, E.1
  • 10
    • 0005750035 scopus 로고
    • Finite dimensional asymptotic behaviour of some semilinear damped hyperbolic problems
    • Feireisl E. Finite dimensional asymptotic behaviour of some semilinear damped hyperbolic problems. J. Dynam. Differential Equations 6 (1994) 23-35
    • (1994) J. Dynam. Differential Equations , vol.6 , pp. 23-35
    • Feireisl, E.1
  • 11
    • 0000220290 scopus 로고
    • Global attractors for damped wave equations with supercritical exponent
    • Feireisl E. Global attractors for damped wave equations with supercritical exponent. J. Differential Equations 116 (1995) 431-447
    • (1995) J. Differential Equations , vol.116 , pp. 431-447
    • Feireisl, E.1
  • 12
    • 84947513673 scopus 로고
    • Global attractors for semilinear wave equation with locally distributed nonlinear damping and critical exponent
    • Feireisl E., and Zuazua E. Global attractors for semilinear wave equation with locally distributed nonlinear damping and critical exponent. Comm. Partial Differential Equations 18 (1993) 1538-1555
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 1538-1555
    • Feireisl, E.1    Zuazua, E.2
  • 15
    • 0036998040 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
    • Ma Q.F., Wang S.H., and Zhong C.K. Necessary and sufficient conditions for the existence of global attractors for semigroups and applications. Indiana Univ. Math. J. 51 6 (2002) 1541-1559
    • (2002) Indiana Univ. Math. J. , vol.51 , Issue.6 , pp. 1541-1559
    • Ma, Q.F.1    Wang, S.H.2    Zhong, C.K.3
  • 18
    • 33646697460 scopus 로고    scopus 로고
    • C.Y. Sun, S.Y. Wang, C.K. Zhong, Global attractors for a nonclassical diffusion equation, Acta Math. Sin. (Engl. Ser.), in press
  • 19
    • 24344463910 scopus 로고    scopus 로고
    • Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains
    • Sun C.Y., and Zhong C.K. Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains. Nonlinear Anal. 63 (2005) 49-65
    • (2005) Nonlinear Anal. , vol.63 , pp. 49-65
    • Sun, C.Y.1    Zhong, C.K.2
  • 21
    • 33646684221 scopus 로고    scopus 로고
    • C.K. Zhong, M.H. Yang, C.Y. Sun, The existence of global attractors for the norm-to-weak continuous semigroup and its application to the nonlinear reaction-diffusion equations, J. Differential Equations, in press


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.