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Volumn 211, Issue 1, 2005, Pages 168-186

Instability results for the damped wave equation in unbounded domains

Author keywords

Damped wave equation; Indefinite damping; Instability; Schr dinger operators; Unbounded domains

Indexed keywords


EID: 14244253920     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.06.006     Document Type: Article
Times cited : (21)

References (23)
  • 1
    • 0002964512 scopus 로고
    • Boundary problems of the second order with an indefinite weight-function
    • Allegretto W. Mingarelli A.B. Boundary problems of the second order with an indefinite weight-function J. Reine Angew. Math. 398 1989 1-24
    • (1989) J. Reine Angew. Math. , vol.398 , pp. 1-24
    • Allegretto, W.1    Mingarelli, A.B.2
  • 2
    • 0034148319 scopus 로고    scopus 로고
    • Energy decay rate of wave equations with indefinite damping
    • Benaddi A. Rao B. Energy decay rate of wave equations with indefinite damping J. Differential Equations 161 2000 337-357
    • (2000) J. Differential Equations , vol.161 , pp. 337-357
    • Benaddi, A.1    Rao, B.2
  • 3
    • 84975966071 scopus 로고
    • Spectral properties of two parameter eigenvalue problems II
    • Binding P.A. Browne P.J. Spectral properties of two parameter eigenvalue problems II Proc. Roy. Soc. Edinburgh 106A 1987 39-51
    • (1987) Proc. Roy. Soc. Edinburgh , vol.106 A , pp. 39-51
    • Binding, P.A.1    Browne, P.J.2
  • 4
    • 0001191106 scopus 로고
    • Eigencurves for two-parameter selfadjoint ordinary differential equations of even order
    • Binding P.A. Browne P.J. Eigencurves for two-parameter selfadjoint ordinary differential equations of even order J. Differential Equations 79 1989 289-303
    • (1989) J. Differential Equations , vol.79 , pp. 289-303
    • Binding, P.A.1    Browne, P.J.2
  • 6
    • 0026111211 scopus 로고
    • Exponential decay of energy of evolution equations with locally distributed damping
    • Chen G. Fulling S.A. Narcowich F.J. Sun S. Exponential decay of energy of evolution equations with locally distributed damping SIAM J. Appl. Math. 51 1991 266-301
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 266-301
    • Chen, G.1    Fulling, S.A.2    Narcowich, F.J.3    Sun, S.4
  • 7
    • 2542521280 scopus 로고    scopus 로고
    • Geometrically induced discrete spectrum in curved tubes
    • submitted; preprint on
    • B. Chenaud, P. Duclos, P. Freitas, D. Krejčiřík, Geometrically induced discrete spectrum in curved tubes, submitted; preprint on http://www.math.kth.se/spect/preprints/
    • Chenaud, B.1    Duclos, P.2    Freitas, P.3    Krejčiřík, D.4
  • 9
    • 0036375647 scopus 로고    scopus 로고
    • Memory-driven instability in a diffusion process
    • Duffy B.R. Freitas P. Grinfeld M. Memory-driven instability in a diffusion process SIAM J. Math. Anal. 33 2002 1090-1106
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1090-1106
    • Duffy, B.R.1    Freitas, P.2    Grinfeld, M.3
  • 11
    • 0030147150 scopus 로고    scopus 로고
    • On some eigenvalue problems related to the wave equation with indefinite damping
    • Freitas P. On some eigenvalue problems related to the wave equation with indefinite damping J. Differential Equations 127 1 1996 320-335
    • (1996) J. Differential Equations , vol.127 , Issue.1 , pp. 320-335
    • Freitas, P.1
  • 12
    • 0030579556 scopus 로고    scopus 로고
    • Stability results for the wave equation with indefinite damping
    • Freitas P. Zuazua E. Stability results for the wave equation with indefinite damping J. Differential Equations 132 1996 338-352
    • (1996) J. Differential Equations , vol.132 , pp. 338-352
    • Freitas, P.1    Zuazua, E.2
  • 13
    • 0004031025 scopus 로고
    • Direct methods of qualitative spectral analysis of singular differential operators
    • Jerusalem: Israel Program for Scientific Translations
    • Glazman I.M. Direct methods of qualitative spectral analysis of singular differential operators 1965 Israel Program for Scientific Translations Jerusalem
    • (1965)
    • Glazman, I.M.1
  • 17
    • 0000023686 scopus 로고
    • On conditions for discreteness of the spectrum of self-adjoint differential equations of the second order
    • Molčanov A.M. On conditions for discreteness of the spectrum of self-adjoint differential equations of the second order Trudy Moskov. Mat. Obšč 2 1953 169-199
    • (1953) Trudy Moskov. Mat. Obšč , vol.2 , pp. 169-199
    • Molčanov, A.M.1
  • 19
    • 0000782328 scopus 로고
    • Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator
    • Persson A. Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator Math. Scand. 8 1960 143-153
    • (1960) Math. Scand. , vol.8 , pp. 143-153
    • Persson, A.1
  • 20
    • 14244267108 scopus 로고
    • Global instability and essential spectrum in semilinear evolution equations
    • Solà-Morales J. Global instability and essential spectrum in semilinear evolution equations Math. Ann. 274 1 1986 125-131
    • (1986) Math. Ann. , vol.274 , Issue.1 , pp. 125-131
    • Solà-Morales, J.1
  • 21
    • 84980087163 scopus 로고
    • On the essential spectrum of partial differential boundary problems
    • Wolf F. On the essential spectrum of partial differential boundary problems Comm. Pure Appl. Math. 12 1959 211-228
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 211-228
    • Wolf, F.1
  • 23
    • 0000402375 scopus 로고
    • Exponential decay for the semilinear wave equation with localized damping in unbounded domains
    • Zuazua E. Exponential decay for the semilinear wave equation with localized damping in unbounded domains J. Math. Pures Appl. 70 1991 513-529
    • (1991) J. Math. Pures Appl. , vol.70 , pp. 513-529
    • Zuazua, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.