Cauchy-Neumann problem for second-order general Schrödinger equations in cylinders with nonsmooth bases.
Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases.
On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.
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