메뉴 건너뛰기




Volumn 47, Issue 4, 1996, Pages 527-538

Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction

Author keywords

Continuous dependence; Decay estimate; Heat conduction

Indexed keywords


EID: 0030490913     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00914869     Document Type: Article
Times cited : (22)

References (15)
  • 1
    • 0012783363 scopus 로고
    • Spatial decay estimates in time-dependent Stokes flow
    • K.,A. Ames, L.,E. Payne and P.,W. Schaefer, Spatial decay estimates in time-dependent Stokes flow. SIAM J. Math. Anal., 24 (1993), 1395-1413.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1395-1413
    • Ames, K.A.1    Payne, L.E.2    Schaefer, P.W.3
  • 2
    • 0000603558 scopus 로고
    • Two continuum approaches to a wavelength-dependent description of heat conduction
    • F. Bampi, A. Morro and D. Jou, Two continuum approaches to a wavelength-dependent description of heat conduction. Physica 107A (1981), 393-403.
    • (1981) Physica , vol.107 A , pp. 393-403
    • Bampi, F.1    Morro, A.2    Jou, D.3
  • 4
    • 0039589218 scopus 로고
    • Spatial decay theorem for nonlinear parabolic equations in semi-infinite cylinders
    • S. Breuer and J.J. Roseman, Spatial decay theorem for nonlinear parabolic equations in semi-infinite cylinders. ZAMP 41 (1990), 524-536.
    • (1990) ZAMP , vol.41 , pp. 524-536
    • Breuer, S.1    Roseman, J.J.2
  • 5
    • 0000724901 scopus 로고
    • Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
    • J.N. Flavin, R.J. Knops and L.E. Payne, Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. ZAMP 43 (1992), 405-421.
    • (1992) ZAMP , vol.43 , pp. 405-421
    • Flavin, J.N.1    Knops, R.J.2    Payne, L.E.3
  • 6
    • 0000992210 scopus 로고
    • Continuous dependence on the relaxation time and modeling, and unbounded growth, in theories of heat conduction with finite propagation speeds
    • F. Franchi and B. Straughan, Continuous dependence on the relaxation time and modeling, and unbounded growth, in theories of heat conduction with finite propagation speeds. J. Math. Anal. Appl. 185 (1994), 726-746.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 726-746
    • Franchi, F.1    Straughan, B.2
  • 7
    • 33749293635 scopus 로고
    • Recent developments concerning Saint-Venant's principle: An update
    • C.O. Horgan, Recent developments concerning Saint-Venant's principle: An update. Appl. Mech. Rev. 42 (1989), 295-303.
    • (1989) Appl. Mech. Rev. , vol.42 , pp. 295-303
    • Horgan, C.O.1
  • 8
    • 77956791026 scopus 로고
    • Recent developments concerning Saint-Venant's principle
    • Ed. J. W. Hutchinson
    • C.O. Horgan and J.K. Knowles, Recent developments concerning Saint-Venant's principle. Advances in Applied Mechanics (Ed. J. W. Hutchinson) 23 (1983), 179-269.
    • (1983) Advances in Applied Mechanics , vol.23 , pp. 179-269
    • Horgan, C.O.1    Knowles, J.K.2
  • 9
    • 0039589217 scopus 로고
    • Decay estimates for a class of nonlinear boundary value problems
    • C.O. Horgan and L.E. Payne, Decay estimates for a class of nonlinear boundary value problems, SIAM J. Math. Anal. 20 (1989), 782-788.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 782-788
    • Horgan, C.O.1    Payne, L.E.2
  • 10
  • 11
    • 0000101943 scopus 로고
    • Spatial decay estimates and energy bounds for the Stokes flow equation
    • Changho Lin, Spatial decay estimates and energy bounds for the Stokes flow equation. SAACM 2 (1992), 249-264.
    • (1992) SAACM , vol.2 , pp. 249-264
    • Lin, C.1
  • 12
    • 0000745005 scopus 로고
    • The influence of domain and diffusivity perturbations on the decay of end effects in heat conduction
    • Changho Lin and L.E. Payne, The influence of domain and diffusivity perturbations on the decay of end effects in heat conduction. SIAM J. Math. Anal. 25 (1994), 1241-1258.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1241-1258
    • Lin, C.1    Payne, L.E.2
  • 13
    • 84972536308 scopus 로고
    • A phragmen-lindelöf alternative for a class of quasilinear second order parabolic problems
    • Changho Lin and L.E. Payne, A Phragmen-Lindelöf alternative for a class of quasilinear second order parabolic problems. Differential and Integral Equations 8 (1995), 539-551.
    • (1995) Differential and Integral Equations , vol.8 , pp. 539-551
    • Lin, C.1    Payne, L.E.2
  • 14
    • 0001763863 scopus 로고
    • Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories
    • A. Morro, L.E. Payne and B. Straughan, Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories. Applicable Analysis 38 (1990), 231-243.
    • (1990) Applicable Analysis , vol.38 , pp. 231-243
    • Morro, A.1    Payne, L.E.2    Straughan, B.3
  • 15
    • 0039589213 scopus 로고
    • Exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations
    • Y. Schenker and J.J. Roseman, Exponential temporal decay of solutions and their derivatives for quasilinear parabolic equations. ZAMP 46 (1995), 198-223.
    • (1995) ZAMP , vol.46 , pp. 198-223
    • Schenker, Y.1    Roseman, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.