A FORMULA OF THE REGULARIZED TRACE FOR POWER OF THE LAPLACE OPERATOR WITH POTENTIAL ON A TETRAHEDRON IN CASE OF THE DIRICHLET BOUNDARY PROBLEM
Abstract and keywords
Abstract (English):
We give a formula of the first regularized trace for powers of the Laplace operator with potential on the tetrahedron.

Keywords:
regularized trace, Laplace operator, potential, Dirichlet boundary problem
References

1. Tomin, N.G. Ortonormirovannye polnye sistemy funktsiy na n-mernom simplekse / N.G. Tomin, I.V. Tomina. Sovremennye metody teorii kraevykh zadach: Materialy Voronezhskoy vesen-ney matematicheskoy shkoly «Pontryaginskie chteniya-XXV». 2014. Voronezh: IPTs «Nauchnaya kniga». S. 137.

2. Il´in, V.A. Osnovy matematicheskogo analiza. Chast´ 2. / V.A. Il´in, E.G. Poznyak. - M.: Nauka-Fizmat. 1973


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