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Spectral asymptotics for nonsmooth singular Green operators
Spectral asymptotics nonsmooth singular Green operators Analysis of PDEs
2012/5/9
Singular Green operators G appear typically as boundary correction terms in resolvents for elliptic boundary value problems on a domain \Omega \subset R^n, and more generally they appear in the calcul...
We introduce two new heuristic ideas concerning the spectrum of a Laplacian,and we give theorems and conjectures from the realms of manifolds, graphs and fractals that validate these heuristics.
Spectral asymptotics for Robin problems with a discontinuous coefficient
Spectral asymptotics for Robin problems discontinuous coefficient
2010/11/30
The spectral behavior of the difference between the resolvents of two realizations of a second-order strongly elliptic symmetric differential operator A defined by different Robin conditions u = b1 0...
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes
Degenerate self-similar measures spectral asymptotics small deviations of Gaussian processes
2010/12/1
The problem of small ball behavior for the norms of Gaussian processes is intensively studied
in recent years. The simplest and most explored case is that of L2-norm. Let us consider a
Gaussian proc...