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Volumn 8, Issue 2, 2001, Pages 157-171

Asymptotic behavior of a nonlinear hyperbolic heat equation with memory

Author keywords

Existence and uniqueness; Hyperbolic heat equation; Memory kernel; Uniform absorbing set

Indexed keywords


EID: 0000035723     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001443     Document Type: Article
Times cited : (33)

References (16)
  • 2
    • 0001629395 scopus 로고
    • Asymptotic stability in viscoelasticity
    • C.M. DAFERMOS, Asymptotic stability in viscoelasticity, Arch. Rational Mech. Anal. 37 (1970), 297-308.
    • (1970) Arch. Rational Mech. Anal. , vol.37 , pp. 297-308
    • Dafermos, C.M.1
  • 4
    • 0000160580 scopus 로고
    • Attractors for damped nonlinear hyperbolic equations
    • J.M. GHIDAGLIA, R. TEMAM, Attractors for damped nonlinear hyperbolic equations, J. Math. Pures Appl. 66 (1987), 273-319.
    • (1987) J. Math. Pures Appl. , vol.66 , pp. 273-319
    • Ghidaglia, J.M.1    Temam, R.2
  • 6
    • 0034541102 scopus 로고    scopus 로고
    • Uniform attractors for a non-autonomous semilinear heat equation with memory
    • C. GIORGI, A. MARZOCCHI, V. PATA, Uniform attractors for a non-autonomous semilinear heat equation with memory, Quart. Appl. Math. 58 (2000), 661-683.
    • (2000) Quart. Appl. Math. , vol.58 , pp. 661-683
    • Giorgi, C.1    Marzocchi, A.2    Pata, V.3
  • 7
    • 0008329457 scopus 로고    scopus 로고
    • Exponential stability in linear heat conduction with memory: A semigroup approach
    • C. GIORGI, M.G. NASO, V. PATA, Exponential stability in linear heat conduction with memory: a semigroup approach, Comm. Appl. Anal. 5 (2001), 121-134.
    • (2001) Comm. Appl. Anal. , vol.5 , pp. 121-134
    • Giorgi, C.1    Naso, M.G.2    Pata, V.3
  • 8
    • 84975960875 scopus 로고
    • On linear theory of heat conduction in materials with memory
    • H. GRABMÜLLER, On linear theory of heat conduction in materials with memory, Proc. Roy. Soc. Edinburgh A-76 (1976-77), 119-137.
    • (1976) Proc. Roy. Soc. Edinburgh , vol.A-76 , pp. 119-137
    • Grabmüller, H.1
  • 9
    • 34250511985 scopus 로고
    • A general theory of heat conduction with finite wave speeds
    • M.E. GURTIN, A.C. PIPKIN, A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal. 31 (1968), 113-126.
    • (1968) Arch. Rational Mech. Anal. , vol.31 , pp. 113-126
    • Gurtin, M.E.1    Pipkin, A.C.2
  • 10
    • 0346776101 scopus 로고
    • On the possibility of development of vibrations during heating of the transparent dielectric by optical radiation
    • Y.I. LYSIKOV, On the possibility of development of vibrations during heating of the transparent dielectric by optical radiation, Zh. Prikl. Math. i Tekh. Fiz. 4 (1984), 56-59.
    • (1984) Zh. Prikl. Math. i Tekh. Fiz. , vol.4 , pp. 56-59
    • Lysikov, Y.I.1
  • 11
    • 0018031320 scopus 로고
    • An integrodifferential equation for rigid heat conductors with memory
    • R.K. MILLER, An integrodifferential equation for rigid heat conductors with memory, J. Math. Anal. Appl. 66 (1978), 331-332.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 331-332
    • Miller, R.K.1
  • 12
    • 0008849603 scopus 로고
    • On heat conduction in materials with memory
    • J.W. NUNZIATO, On heat conduction in materials with memory, Quart. Appl. Math. 29 (1971), 187-204.
    • (1971) Quart. Appl. Math. , vol.29 , pp. 187-204
    • Nunziato, J.W.1
  • 13
    • 0031476970 scopus 로고    scopus 로고
    • Critical speed for the avoidance of blow-up in a reactive-diffusive medium
    • W.E. OLMSTEAD, Critical speed for the avoidance of blow-up in a reactive-diffusive medium, Z. Angew. Math. Phys. 48 (1997), 701-710.
    • (1997) Z. Angew. Math. Phys. , vol.48 , pp. 701-710
    • Olmstead, W.E.1
  • 14
    • 0001410999 scopus 로고    scopus 로고
    • Traveling waves of dissipative non-autonomous hyperbolic equations in a strip
    • V. PATA, G. PROUSE, M.I. VISHIK, Traveling waves of dissipative non-autonomous hyperbolic equations in a strip, Adv. Differential Equations 3 (1998), 249-270.
    • (1998) Adv. Differential Equations , vol.3 , pp. 249-270
    • Pata, V.1    Prouse, G.2    Vishik, M.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.