Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri
Solutions to Multi-Dimensional Sturm-Liouville-Like and Weiss PDEs: Producing Function Method
Sergey Borisenok
Abdullah Gül Üniversitesi, Türkiye
We present solutions to particular classes of partial differential equations with $n$ real variables using the producing function technique. For the first class of equations, the multidimensional Sturm-Liouville-like PDEs, we define a multidimensional Schwarzian and then use its invariant properties under Möbius transformation. For the second class, PDEs with the generalized Weiss operators, our solutions are based on the $n$-dimensional generalization of Weiss’ theorem.
