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The spectra of the Laplacian

✍ Scribed by M.W. Wong

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
377 KB
Volume
100
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES

The meaning of the vector Laplacian
The meaning of the vector Laplacian
✍ Parry Moon; Domina Eberle Spencer πŸ“‚ Article πŸ“… 1953 πŸ› Elsevier Science 🌐 English βš– 345 KB

The increasing use of Maxwell's equations necessitates a careful consideration of the best formulation for electromagnetic problems. Advance in the past has been hindered by an unfortunate notation that employs the same symbol V ~ for two entirely different operators--the vector Laplacian and the sc

The Combinatorial Laplacian of the Tutte
The Combinatorial Laplacian of the Tutte Complex
✍ Graham Denham πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

Let M be an ordered matroid and C β€’β€’ M be an exterior algebra over its underlying set E, graded by both corank and nullity. Then C β€’0 M is the simplicial chain complex of IN M , the simplicial complex whose simplices are indexed by the independent sets of the matroid. Dually, C 0β€’ M is the cochain c

Discussion of β€œthe meaning of the vector
Discussion of β€œthe meaning of the vector Laplacian”
✍ Harold K. Farr πŸ“‚ Article πŸ“… 1954 πŸ› Elsevier Science 🌐 English βš– 99 KB

A proposal has been made recently that a special notation be adopted for the Laplacian of a vector. It is shown that such a notation is unjustified since the usual scalar Laplacian gives the correct result when operating on a vector. In a recent article Moon and Spencer (1) 2 develop expressions fo

The Jump of the Laplacian on a Submanifo
The Jump of the Laplacian on a Submanifold
✍ Ewa Dudek; Konstanty Holly πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 388 KB

Assume that a submanifold M C Rn of an arbitrary codimension k E { 1,. . . , n} is closed in some open set 0 C IR". With a given function ZL E C2(0 \ M) we may associate its trivial extension ii : 0 + IR such that tIlo\~ = u and ~I M 0 . The jump of the Laplacian of the function ZL on the submanifol