메뉴 건너뛰기




Volumn 58, Issue 4, 2000, Pages 661-683

Uniform attractors for a non-autonomous semilinear heat equation with memory

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONFORMAL MAPPING; HEAT CONDUCTION; HEAT FLUX; INTEGRAL EQUATIONS; INTEGRATION; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY; THEOREM PROVING;

EID: 0034541102     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1788423     Document Type: Article
Times cited : (33)

References (22)
  • 1
    • 0002019044 scopus 로고    scopus 로고
    • Existence and asymptotic results for a system of integro-partial differential equations
    • S. Aizicovici and V. Barbu, Existence and asymptotic results for a system of integro-partial differential equations, NoDEA Nonlinear Differential Equations Appl. 3, 1-18 (1996)
    • (1996) NoDEA Nonlinear Differential Equations Appl. , vol.3 , pp. 1-18
    • Aizicovici, S.1    Barbu, V.2
  • 3
    • 0032058549 scopus 로고    scopus 로고
    • Nonsmooth kernels in a phase relaxation problem with memory
    • G. Bonfanti, P. Colli, M. Grasselli, and F. Luterotti, Nonsmooth kernels in a phase relaxation problem with memory, Nonlinear Anal. 32, 455-465 (1998)
    • (1998) Nonlinear Anal. , vol.32 , pp. 455-465
    • Bonfanti, G.1    Colli, P.2    Grasselli, M.3    Luterotti, F.4
  • 5
    • 0004152738 scopus 로고
    • Nonautonomous evolution equations and their attractors
    • V. V. Chepyzhov and M. I. Vishik, Nonautonomous evolution equations and their attractors, Russian J. Math. Phys. 1, 165-190 (1993)
    • (1993) Russian J. Math. Phys. , vol.1 , pp. 165-190
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 6
    • 0001530660 scopus 로고
    • Attractors of non-autonomous dynamical systems and their dimension
    • V. V. Chepyzhov and M. I. Vishik, Attractors of non-autonomous dynamical systems and their dimension, J. Math. Pures Appl. 73, 279-333 (1994)
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 279-333
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 7
    • 0000754878 scopus 로고
    • Non-autonomous evolutionary equations with translation compact symbols and their attractor
    • V. V. Chepyzhov and M. I. Vishik, Non-autonomous evolutionary equations with translation compact symbols and their attractor, C. R. Acad. Sci. Paris Sér. I Math. 321, 153-158 (1995)
    • (1995) C. R. Acad. Sci. Paris Sér. I Math. , vol.321 , pp. 153-158
    • Chepyzhov, V.V.1    Vishik, M.I.2
  • 8
    • 0000522482 scopus 로고
    • Equipresence and constitutive equation for rigid heat conductors
    • B. D. Coleman and M. E. Gurtin, Equipresence and constitutive equation for rigid heat conductors, Z. Angew. Math. Phys. 18, 199-208 (1967)
    • (1967) Z. Angew. Math. Phys. , vol.18 , pp. 199-208
    • Coleman, B.D.1    Gurtin, M.E.2
  • 9
    • 0002093918 scopus 로고
    • Phase transition problems in materials with memory
    • P. Colli and M. Grasselli, Phase transition problems in materials with memory, J. Integral Equations Appl. 5, 1-22 (1993)
    • (1993) J. Integral Equations Appl. , vol.5 , pp. 1-22
    • Colli, P.1    Grasselli, M.2
  • 11
    • 0001629395 scopus 로고
    • Asymptotic stability in viscoelasticity
    • C. M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Rational Mech. Anal. 37, 297-308 (1970)
    • (1970) Arch. Rational Mech. Anal. , vol.37 , pp. 297-308
    • Dafermos, C.M.1
  • 12
    • 38249035498 scopus 로고
    • Exponential stabilization of Volterra integrodifferential equations in Hilbert spaces
    • W. Desch and R. K. Miller, Exponential stabilization of Volterra integrodifferential equations in Hilbert spaces, J Differential Equations 70, 366-389 (1987)
    • (1987) J Differential Equations , vol.70 , pp. 366-389
    • Desch, W.1    Miller, R.K.2
  • 13
    • 0003003928 scopus 로고
    • Thermodynamic properties and stability for the heat flux equation with linear memory
    • G. Gentili and C. Giorgi, Thermodynamic properties and stability for the heat flux equation with linear memory, Quart. Appl. Math. 51, 343-362 (1993)
    • (1993) Quart. Appl. Math. , vol.51 , pp. 343-362
    • Gentili, G.1    Giorgi, C.2
  • 15
    • 84975960875 scopus 로고
    • On linear theory of heat conduction in materials with memory. Existence and uniqueness theorems for the final value problem
    • H. Grabmüller, On linear theory of heat conduction in materials with memory. Existence and uniqueness theorems for the final value problem, Proc. Roy. Soc. Edinburgh A-76, 119-137 (1976-77)
    • (1976) Proc. Roy. Soc. Edinburgh , vol.A-76 , pp. 119-137
    • Grabmüller, H.1
  • 16
    • 0032361134 scopus 로고    scopus 로고
    • Longtime behavior of a homogenized model in viscoelastodynamics
    • M. Grasselli and V. Pata, Longtime behavior of a homogenized model in viscoelastodynamics, Discrete Contin. Dynam. Systems 4, 339-358 (1998)
    • (1998) Discrete Contin. Dynam. Systems , vol.4 , pp. 339-358
    • Grasselli, M.1    Pata, V.2
  • 18
    • 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, 331-332 (1978)
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 331-332
    • Miller, R.K.1
  • 19
    • 0008849603 scopus 로고
    • On heat conduction in materials with memory
    • J. W. Nunziato, On heat conduction in materials with memory, Quart. Appl. Math. 29, 187-204 (1971)
    • (1971) Quart. Appl. Math. , vol.29 , pp. 187-204
    • Nunziato, J.W.1
  • 20
    • 0001410999 scopus 로고    scopus 로고
    • Traveling waves of dissipative non-autonomous hyperbolic equations in a strip
    • V. Pata, G. Prouse, and M. I. Vishik, Traveling waves of dissipative non-autonomous hyperbolic equations in a strip, Adv. Differential Equations 3, 249-270 (1998)
    • (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.