Eigenvalues of the Laplacian for rectilinear regions
1988 ◽
Vol 29
(3)
◽
pp. 270-281
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Keyword(s):
AbstractFrom a knowledge of the eigenvalue spectrum of the Laplacian on a domain, one may extract information on the geometry and boundary conditions by analysing the asymptotic expansion of a spectral function. Explicit calculations are performed for isosceles right-angle triangles with Dirichlet or Neumann boundary conditions, yielding in particular the corner angle terms. In three dimensions, right prisms are dealt with, including the solid vertex terms.
2019 ◽
Vol 81
(4)
◽
pp. 1531-1546
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2020 ◽
Vol 28
(2)
◽
pp. 237-241
Keyword(s):
2013 ◽
Vol 265
(3)
◽
pp. 375-398
◽
Keyword(s):
2018 ◽
Vol 145
◽
pp. 01009
◽
Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
2002 ◽
Vol 18
(3)
◽
pp. 261-279
◽
1987 ◽
Vol 105
(1)
◽
pp. 117-126
◽