TY - JOUR AU - M. N. Feller PY - 2009/11/25 Y2 - 2024/03/29 TI - Boundary-value problems for the wave equation with Lévy Laplacian in the Gâteaux class JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 61 IS - 11 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3122 AB - 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. ER -