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Volumn 83, Issue 2, 2004, Pages 125-133

On a nonstandard problem for heat conduction in a cylinder

Author keywords

35B30; 35K20; AMS Subject Classifications: Primary 35K05; Decay bounds; Heat conduction; Nonstandard problem

Indexed keywords


EID: 4544364440     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810310001620108     Document Type: Article
Times cited : (22)

References (12)
  • 1
    • 0032383601 scopus 로고    scopus 로고
    • Asymptotic behavior for two regularizations of the Cauchy problem for the backward heat equation
    • Ames, KA, and Payne, LE. 1998. Asymptotic behavior for two regularizations of the Cauchy problem for the backward heat equation. Math. Models Methods in Appl. Sci., 8: 187–202.
    • (1998) Math. Models Methods in Appl. Sci. , vol.8 , pp. 187-202
    • Ames, K.A.1    Payne, L.E.2
  • 2
    • 1942417404 scopus 로고    scopus 로고
    • Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
    • Ames, KA, and Payne, LE. 1999. Continuous dependence on modeling for some well-posed perturbations of the backward heat equation. J. Inequalities Appl., 3: 51–64.
    • (1999) J. Inequalities Appl. , vol.3 , pp. 51-64
    • Ames, K.A.1    Payne, L.E.2
  • 4
    • 0007447039 scopus 로고
    • Quasireversibility methods for non-well-posed problems
    • 8
    • Clark G, Oppenheimer C, 1994 Quasireversibility methods for non-well-posed problems Elect. J. Diff. Eq. No. 8 1 9
    • (1994) Elect. J. Diff. Eq. , pp. 1-9
    • Clark, G.1    Oppenheimer, C.2
  • 5
    • 0001385248 scopus 로고
    • Decay estimates for the constrained elastic cylinder of variable cross section
    • Flavin, J, Knops, RJ, and Payne, LE. 1989. Decay estimates for the constrained elastic cylinder of variable cross section. Q. Appl. Math., 47: 325–350.
    • (1989) Q. Appl. Math. , vol.47 , pp. 325-350
    • Flavin, J.1    Knops, R.J.2    Payne, L.E.3
  • 6
    • 0000128766 scopus 로고
    • Sur la fréquence fondamentale d’une membrane vibrante: évaluations par défaut et principe du maximum
    • Hersch, J. 1960. Sur la fréquence fondamentale d’une membrane vibrante: évaluations par défaut et principe du maximum. ZAMP, 11: 387–413.
    • (1960) ZAMP , vol.11 , pp. 387-413
    • Hersch, J.1
  • 7
    • 0021412015 scopus 로고
    • Spatial decay estimates in transient heat conduction
    • Horgan, CO, Payne, LE, and Wheeler, LT. 1984. Spatial decay estimates in transient heat conduction. Q. Appl. Math., 42: 119–127.
    • (1984) Q. Appl. Math. , vol.42 , pp. 119-127
    • Horgan, C.O.1    Payne, L.E.2    Wheeler, L.T.3
  • 8
    • 85064787509 scopus 로고    scopus 로고
    • Alternative spatial growth and decay for constrained motion in an elastic cylinder
    • to appear
    • Knops RJ, Payne LE, Alternative spatial growth and decay for constrained motion in an elastic cylinder J. Math. Mech. of Solids (to appear)
    • J. Math. Mech. of Solids
    • Knops, R.J.1    Payne, L.E.2
  • 9
    • 0034553614 scopus 로고    scopus 로고
    • On the spatial decay of solutions to a quasilinear parabolic initial-boundary value problem and their derivatives
    • Payne, LE, and Philippin, GA. 2000. On the spatial decay of solutions to a quasilinear parabolic initial-boundary value problem and their derivatives. SIAM J. Math. Anal., 32: 291–303.
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 291-303
    • Payne, L.E.1    Philippin, G.A.2
  • 10
    • 0036756497 scopus 로고    scopus 로고
    • Energy bounds for some nonstandard problems in partial differential equations
    • Payne, LE, and Schaefer, PW. 2001. Energy bounds for some nonstandard problems in partial differential equations. J. Math. Anal. Appl., 273: 75–92.
    • (2001) J. Math. Anal. Appl. , vol.273 , pp. 75-92
    • Payne, L.E.1    Schaefer, P.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.