2 papers
math.AP2024
Decomposition of global solutions for a class of nonlinear wave equations
Georgios Mavrogiannis, Avy Soffer, Xiaoxu Wu
In the present paper we consider global solutions of a class of non-linear wave equations of the form \begin{equation*} \Box u= N(x,t,u)u, \end{equation*} where the nonlinearity~$…
math.CA2024
Parabolic cylinder functions revisited using the Laplace transform
Rodica D. Costin, Georgios Mavrogiannis
In this paper we gather and extend classical results for parabolic cylinder functions, namely solutions of the Weber differential equations, using a systematic approach by Borel-La…