2017
Том 69
№ 9

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

Feller M. N.

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1839-1852.

Citation Example: Feller M. N. Boundary-value problems for the wave equation with Lévy Laplacian in the Gâteaux class // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1564-1574.

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