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Volumn 66, Issue 5, 1996, Pages 420-427

A numerical existence proof of nodal lines for the first eigenfunction of the plate equation

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EID: 0030304411     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01781561     Document Type: Article
Times cited : (26)

References (19)
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    • Coffman, C.V.1
  • 7
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    • 2 u = λu which satisfy the clamped plate conditions on a right angle
    • 2 u = λu which satisfy the clamped plate conditions on a right angle. SIAM J. Math. Anal. 13, 746-757 (1982)
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    • Coffman, C.V.1
  • 8
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    • On the construction of series solutions to the first biharmonic boundary value problem on a rectangle
    • C. V. COFFMAN, On the construction of series solutions to the first biharmonic boundary value problem on a rectangle. SIAM J. Math. Anal. 17, 384-402 (1986).
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    • Coffman, C.V.1
  • 9
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    • On the fundamental eigenfunctions of a clamped punctured disc
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  • 10
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    • Iterative solution of the stream function - Vorticity formulation of the stokes problem, comput
    • E. J. DEAN, R. GLOWINSKI and O. PIRONNEAU, Iterative solution of the stream function - vorticity formulation of the Stokes problem, Comput. Methods Appl. Mech. Engrg. 87, 117- 155 (1991).
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    • Dean, E.J.1    Glowinski, R.2    Pironneau, O.3
  • 12
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    • Results of the eigenvalue problem for the plate equation
    • W. HACKBUSCH and G. HOFMANN, Results of the eigenvalue problem for the plate equation. J. Appl. Math. Phys. (ZAMP) 31, 730-739 (1980).
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    • Hackbusch, W.1    Hofmann, G.2
  • 14
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    • Bounds for eigenvalues of second-order elliptic differential operators
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    • 2-estimates and pointwise bounds for solutions of second-order elliptic boundary value problems
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    • Plum, M.1
  • 17
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    • Numerische existenzbeweise für schwache lösungen nichtlinearer elliptischer randwertaufgaben
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    • Bounds for the N lowest eigenvalues for fourth order boundary value equations. Submitted
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.