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Volumn 35, Issue 2, 1999, Pages 269-286

Growth and decay results in heat conduction problems with nonlinear boundary conditions

Author keywords

Exponential growth or decay; Heat conduction problems; Nonlinear radiation boundary conditions; Pointwise bounds

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIATION (CALCULUS); FUNCTIONS; MAXIMUM PRINCIPLE; PROBLEM SOLVING; THEOREM PROVING;

EID: 0032736809     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00034-0     Document Type: Article
Times cited : (12)

References (11)
  • 2
    • 0003497330 scopus 로고
    • Upper bounds and Saint-Venant's principle in transient heat conduction
    • Boley B.A. Upper bounds and Saint-Venant's principle in transient heat conduction. Quart. Appl. Math. 18:1960;205-207.
    • (1960) Quart. Appl. Math. , vol.18 , pp. 205-207
    • Boley, B.A.1
  • 4
    • 33749293635 scopus 로고
    • Recent developments concerning Saint-Venant's principle: An update
    • Horgan C.O. 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
  • 5
    • 0030257414 scopus 로고    scopus 로고
    • Recent developments concerning Saint-Venant's principle: A second update
    • Horgan C.O. Recent developments concerning Saint-Venant's principle: a second update. Appl. Mech. Rev. 49:1996;102-111.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 102-111
    • Horgan, C.O.1
  • 6
    • 77956791026 scopus 로고
    • Recent developments concerning Saint-Venant's principle
    • Horgan C.O., Knowles J.K. Recent developments concerning Saint-Venant's principle. Adv. Appl. Mech. 23:1983;179-269.
    • (1983) Adv. Appl. Mech. , vol.23 , pp. 179-269
    • Horgan, C.O.1    Knowles, J.K.2
  • 7
    • 0011811875 scopus 로고
    • Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions
    • Horgan C.O., Payne L.E. Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Arch. Rat. Mech. Anal. 122:1993;123-144.
    • (1993) Arch. Rat. Mech. Anal. , vol.122 , pp. 123-144
    • Horgan, C.O.1    Payne, L.E.2
  • 8
    • 0000243170 scopus 로고
    • On the spatial decay of solutions of the heat equation
    • Knowles J.K. On the spatial decay of solutions of the heat equation. Z. Angew. Math. Phys. (ZAMP). 22:1971;1050-1056.
    • (1971) Z. Angew. Math. Phys. (ZAMP) , vol.22 , pp. 1050-1056
    • Knowles, J.K.1
  • 9
    • 0039620833 scopus 로고
    • Pointwise bounds and spatial decay estimates in heat conduction problems
    • Payne L.E., Philippin G.A. Pointwise bounds and spatial decay estimates in heat conduction problems. Math. Models and Meth. Appl. Sci. 5:1995;755-775.
    • (1995) Math. Models and Meth. Appl. Sci. , vol.5 , pp. 755-775
    • Payne, L.E.1    Philippin, G.A.2
  • 10
    • 85033963340 scopus 로고    scopus 로고
    • Growth and decay results for some second order semilinear elliptic problems
    • (to appear)
    • L.E. Payne P.W. Schaefer, J.C. Song, Growth and decay results for some second order semilinear elliptic problems. Math. Methods Appl. Sci. (to appear).
    • Math. Methods Appl. Sci.
    • Payne, L.E.1    Schaefer, P.W.2    Song, J.C.3
  • 11
    • 0007335551 scopus 로고
    • Lower bounds for vibration frequencies of elastically supported membranes and plates
    • Payne L.E., Weinberger H.F. Lower bounds for vibration frequencies of elastically supported membranes and plates. SIAM J. Appl. Math. 5:1957;171-182.
    • (1957) SIAM J. Appl. Math. , vol.5 , pp. 171-182
    • Payne, L.E.1    Weinberger, H.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.