Eigenfunctions of Laplacians in some two-dimensional domains

Yakov G. Sinai; I. Vinogradov

doi:10.1090/conm/698/14101

Eigenfunctions of Laplacians in some two-dimensional domains

Yakov G. Sinai, I. Vinogradov

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We construct eigenfunctions of a modified Laplace operator in certain two-dimensional polygonal domains with Dirichlet boundary condition. A special property of domains is the existence of a lattice on which our operator can be defined. This allows us to give explicit expressions for eigenfunctions.

Original language	English (US)
Title of host publication	Contemporary Mathematics
Publisher	American Mathematical Society
Pages	195-199
Number of pages	5
Volume	698
DOIs	https://doi.org/10.1090/conm/698/14101
State	Published - Jan 1 2017

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1090/conm/698/14101

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abstract = "We construct eigenfunctions of a modified Laplace operator in certain two-dimensional polygonal domains with Dirichlet boundary condition. A special property of domains is the existence of a lattice on which our operator can be defined. This allows us to give explicit expressions for eigenfunctions.",

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Eigenfunctions of Laplacians in some two-dimensional domains

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