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Global hypoellipticity of the Kohn-Laplacian $\Box_b$ on pseudoconvex CR manifolds
Global hypoellipticity Kohn-Laplacian $\Box_b$ pseudoconvex CR manifolds
2011/3/1
Let X be a complex manifold andM ⊂ X a compact, smooth, pseudoconvex CR manifold of dimension 2n − 1. (Here n ≥ 3 or, in case n = 2, it is made the extra assumption that ¯@b has close...
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift
Eigenvalues and eigenfunctions the Laplacian
2010/11/19
In this paper we present an iterative method inspired by the inverse iteration with shift technique of finite linear algebra designed to find the eigenvalues and eigenfunctions of the Laplacian with h...
Estimates of the Green function for the fractional Laplacian perturbed by gradient
Estimates of the Green function fractional Laplacian
2010/12/6
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturba-tions are comparable for bounded smooth multidimensional open s...
The nodal line of the second eigenfunction of the Robin Laplacian in $\mathbb{R}^2$ can be closed
Laplacian eigenfunction nodal line Robin boundary
2010/12/13
We construct a multiply connected domain in R2 for which the second eigenfunction of the Laplacian with Robin boundary condi-tions has an interior nodal line. In the process, we adapt a bound of Donne...
The large class of moving boundary processes in the plane modeled by the so-called Laplacian growth, which describes, e.g., solidification, electrodeposition, viscous fingering, bacterial growth, etc....