Classical solution of a mixed problem with involution
The authors give a closed form solution representation for the initial-boundary value problem \[ \begin{gathered} {1\over\beta i}\partial_t u(x, t)= \partial_x u(1- x,t)+ q(x) u(x,t),\quad x\in [0, 1],\;t\in\mathbb{R},\\ u(0,t)= 0,\quad u(x,0)=\varphi(x).\end{gathered} \]
scientific article; zbMATH DE number 5905492