Boundary-value problems for the wave equation with Lévy Laplacian in the Gâteaux class

  • M. N. Feller УкрНИИ «Ресурс», Киев

Abstract

We present the solutions of the initial-value problem in the entire space and the solutions of the boundary-value and initial-boundary-value problems for the wave equation $$\frac{∂^2U(t,x)}{∂x^2} = Δ_LU(t,x)$$ with infinite-dimensional Lévy Laplacian $Δ_L$ in the class of Gâteaux functions.
Published
25.11.2009
How to Cite
Feller, M. N. “Boundary-Value Problems for the Wave Equation With Lévy Laplacian in the Gâteaux Class”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 11, Nov. 2009, pp. 1564-7, https://umj.imath.kiev.ua/index.php/umj/article/view/3122.
Section
Research articles