Sci Math | Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases

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Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases

Authors: Nguyễn Mạnh Hùng, Nguyễn Thị Kim Sơn,

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Publisher, magazine: ,

Publication year: 2008

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Abstract

We consider the second initial boundary value problem for strongly general Schrödinger systems in both the finite and the infinite cylinders \(Q_T\), \(0<T\leq +\infty\), with non-smooth base \(\Omega\). Some results on the existence, uniqueness and smoothness with respect to time variable of generalized solution of this problem are given.

Tags: generalized solution; uniqueness; finite cylinders; infinite cylinders

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