On the inversion of the camber line problem.
Mikolaitis, David W. (2001)
Mathematical Problems in Engineering
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Mikolaitis, David W. (2001)
Mathematical Problems in Engineering
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Pedro Freitas, Batłomiej Siudeja (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove some new upper and lower bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals. In particular, we improve Pólya and Szegö's [ (1951)] lower bound for quadrilaterals and extend Hersch's [ (1966) 457–460] upper bound for parallelograms to general quadrilaterals.
von Gagern, Martin, Richter-Gebert, Jürgen (2009)
The Electronic Journal of Combinatorics [electronic only]
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Cotton, Andrew, Freeman, David (2002)
International Journal of Mathematics and Mathematical Sciences
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Sasaki, Takeshi, Yoshida, Masaaki (2001)
Experimental Mathematics
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Beate Semmler (2000)
Annales scientifiques de l'École Normale Supérieure
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Peter Buser (1986)
Annales de l'institut Fourier
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We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus and for all . In a second part we give examples of isospectral non isometric surfaces in which are realizable by paper models.
Yu E. Karpeshina, J. R. McLaughlin (1997-1998)
Séminaire Équations aux dérivées partielles
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The operator with the Dirichlet boundary condition is considered in a parallelepiped. The problem of restoring from positions of nodal surfaces is solved.