The riquier problem for a nonlinear equation unresolved with respect to the Lévy iterated laplacian

• Date: 1999
• Main Authors: Feller, M. N., Феллер, М. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4627
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a method of solving for the nonlinear equationf(U(x),Δ L 2 U(x)) = Δ L U(x) (Δ L is an infinite-dimensional Laplacian) unresolved with respect to an iterated infinite-dimensional Laplacian and for the Riquier problem for this equation.