메뉴 건너뛰기




Volumn 69, Issue 12, 2008, Pages 4340-4351

On global solution of an initial boundary value problem for a class of damped nonlinear equations

Author keywords

Global strong solution; Global weak solution; Initial boundary value problem; Potential wells

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; INITIAL VALUE PROBLEMS; SOLUTIONS;

EID: 55049100645     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.10.057     Document Type: Article
Times cited : (19)

References (19)
  • 1
    • 0001558013 scopus 로고
    • A weakly nonlinear analysis of elasto-plastic-microstructure models
    • An L.J., and Peirce A. A weakly nonlinear analysis of elasto-plastic-microstructure models. SIAM J. Appl. Math. 55 (1995) 136-155
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 136-155
    • An, L.J.1    Peirce, A.2
  • 2
    • 33745448792 scopus 로고    scopus 로고
    • Existence and non-existence of global solutions for a class of nonlinear wave equations
    • Chen G., and Yang Z. Existence and non-existence of global solutions for a class of nonlinear wave equations. Math. Methods Appl. Sci. 23 (2000) 615-631
    • (2000) Math. Methods Appl. Sci. , vol.23 , pp. 615-631
    • Chen, G.1    Yang, Z.2
  • 3
    • 28044437988 scopus 로고    scopus 로고
    • Dynamics around the ground state of a nonlinear evolution equation
    • Esquivel-Avila J.A. Dynamics around the ground state of a nonlinear evolution equation. Nonlinear Anal. 63 5-7 (2005) 331-343
    • (2005) Nonlinear Anal. , vol.63 , Issue.5-7 , pp. 331-343
    • Esquivel-Avila, J.A.1
  • 4
    • 0030296142 scopus 로고    scopus 로고
    • Some remarks on the wave equations with nonlinear damping and source terms
    • Ikehata R. Some remarks on the wave equations with nonlinear damping and source terms. Nonlinear Anal. 27 (1996) 1165-1175
    • (1996) Nonlinear Anal. , vol.27 , pp. 1165-1175
    • Ikehata, R.1
  • 5
    • 0041851450 scopus 로고    scopus 로고
    • The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation
    • Lai S., and Wu Y.H. The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation. Discrete Contin. Dyn. Syst. 3 3 (2003) 401-408
    • (2003) Discrete Contin. Dyn. Syst. , vol.3 , Issue.3 , pp. 401-408
    • Lai, S.1    Wu, Y.H.2
  • 6
    • 37249063037 scopus 로고    scopus 로고
    • On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation
    • 10.1016/j.cam.2006.12.008
    • Lai S., Wu Y.H., and Wiwatanapataphee B. On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation. J. Comput. Appl. Math. (2007) 10.1016/j.cam.2006.12.008
    • (2007) J. Comput. Appl. Math.
    • Lai, S.1    Wu, Y.H.2    Wiwatanapataphee, B.3
  • 7
    • 24944572680 scopus 로고    scopus 로고
    • The global solution of an initial boundary value problem for the damped Boussinesq equation
    • Lai S., Wu Y.H., and Yang X. The global solution of an initial boundary value problem for the damped Boussinesq equation. Commun. Pure Appl. Anal. 3 2 (2004) 319-328
    • (2004) Commun. Pure Appl. Anal. , vol.3 , Issue.2 , pp. 319-328
    • Lai, S.1    Wu, Y.H.2    Yang, X.3
  • 10
    • 55049112274 scopus 로고
    • Strongly damped nonlinear wave equation in arbitrary dimensions (1)
    • Liu Y., Feng W., and Liu D.-C. Strongly damped nonlinear wave equation in arbitrary dimensions (1). Math. Appl. 8 3 (1995) 262-266
    • (1995) Math. Appl. , vol.8 , Issue.3 , pp. 262-266
    • Liu, Y.1    Feng, W.2    Liu, D.-C.3
  • 11
    • 55049096879 scopus 로고    scopus 로고
    • On potential well and application to strongly damped nonlinear wave equations
    • Liu Y., and Liu P. On potential well and application to strongly damped nonlinear wave equations. Acta Math. Appl. Sin. 27 4 (2004) 710-722
    • (2004) Acta Math. Appl. Sin. , vol.27 , Issue.4 , pp. 710-722
    • Liu, Y.1    Liu, P.2
  • 12
    • 33947130646 scopus 로고    scopus 로고
    • Fourth order wave equations with nonlinear strain and source terms
    • Liu Y., and Runzhang X. Fourth order wave equations with nonlinear strain and source terms. J. Math. Anal. Appl. 331 (2007) 585-607
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 585-607
    • Liu, Y.1    Runzhang, X.2
  • 13
    • 51649189214 scopus 로고
    • Saddle points and instability of nonlinear hyperbolic equations
    • Payne L.E., and Sattinger D.H. Saddle points and instability of nonlinear hyperbolic equations. Israel J. Math. 22 (1975) 273-303
    • (1975) Israel J. Math. , vol.22 , pp. 273-303
    • Payne, L.E.1    Sattinger, D.H.2
  • 14
    • 0000886834 scopus 로고
    • On global solution of nonlinear hyperbolic equations
    • Sattinger D.H. On global solution of nonlinear hyperbolic equations. Arch. Rational Mech. Anal. 30 (1968) 148-172
    • (1968) Arch. Rational Mech. Anal. , vol.30 , pp. 148-172
    • Sattinger, D.H.1
  • 15
    • 0000877229 scopus 로고
    • On solutions of semilinear differential equations in a Hilbert space
    • Tsutsumi M. On solutions of semilinear differential equations in a Hilbert space. Math. Japan 17 (1972) 173-193
    • (1972) Math. Japan , vol.17 , pp. 173-193
    • Tsutsumi, M.1
  • 16
    • 84988571190 scopus 로고
    • Existence and nonexistence of global solutions for nonlinear parabolic equations
    • Tsutsumi M. Existence and nonexistence of global solutions for nonlinear parabolic equations. Publ. RTMS 8 (1972-73) 211-229
    • (1972) Publ. RTMS , vol.8 , pp. 211-229
    • Tsutsumi, M.1
  • 17
    • 0000999961 scopus 로고
    • Existence and asypmtotic behavior for a strongly damped nonlinear wave equation
    • Webb G.F. Existence and asypmtotic behavior for a strongly damped nonlinear wave equation. Canad. J. Math. 32 (1980) 631-643
    • (1980) Canad. J. Math. , vol.32 , pp. 631-643
    • Webb, G.F.1
  • 18
    • 0037455419 scopus 로고    scopus 로고
    • Global existence, symptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
    • Yang Z. Global existence, symptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term. J. Differential Equations 187 (2003) 520-540
    • (2003) J. Differential Equations , vol.187 , pp. 520-540
    • Yang, Z.1
  • 19
    • 33746563897 scopus 로고    scopus 로고
    • Potential well method for a class of nonlinear wave equations of fourth-order
    • (in Chinese)
    • Zhang H., and Chen G. Potential well method for a class of nonlinear wave equations of fourth-order. Acta Math. Sci. Ser. A 23 6 (2003) 758-768 (in Chinese)
    • (2003) Acta Math. Sci. Ser. A , vol.23 , Issue.6 , pp. 758-768
    • Zhang, H.1    Chen, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.