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arXiv · 0704.2304

Factorization of the Non-Stationary Schrodinger Operator

P. Cerejeiras·N. Vieira
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Abstract

We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras/ Kahler/ Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated Teodorescu and Cauchy-Bitsadze operators. Afterwards we will describe how to solve the nonlinear Schrodinger equation using Banach fixed point theorem.

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P. Cerejeiras, N. Vieira. 2007-06-15. Factorization of the Non-Stationary Schrodinger Operator. https://doi.org/10.1007/s00006-007-0039-6

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