Spatially singular solutions for Klein-Gordon-Schrodinger system

Motivated by the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrodinger (KGS) system in one space dimension. Our result shows there exist singular solutions, part of which may increase exponentially with respect to the spatial variable. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

Motivated by the potential singularity in the stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrodinger (KGS) system in one space dimension. Our result demonstrates the existence of singular solutions, some of which may exhibit exponential growth with respect to the spatial variable.