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Computational experiments in the problem on eigenvalues for the Laplace operator in the polygonal domain

✍ Scribed by Algazin, S. D.


Book ID
121605712
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
272 KB
Volume
5
Category
Article
ISSN
2070-0482

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rate a b s t r a c t Let L := -r -2 (rβˆ‚ r ) 2 -βˆ‚ 2 z . We consider the equation Lu = f on a bounded polygonal domain with suitable boundary conditions, derived from the three-dimensional axisymmetric Poisson's equation. We establish the well-posedness, regularity, and Fredholm results in weighted So