Detection of Hermitian connections in wave equations with cubic non-linearity

Xi Chen, Matti Lassas, Lauri Oksanen +1

We consider the geometric non-linear inverse problem of recovering a Hermitian connection $A$ from the source-to-solution map of the cubic wave equation ${\square }_A\varphi +\kappa |\varphi {|}^2\varphi =f$, wh…