Factorization of the Non-Stationary Schrödinger Operator |
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Authors: | Paula Cerejeiras Nelson Vieira |
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Institution: | (1) Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal |
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Abstract: | We consider a factorization of the non-stationary Schr?dinger operator based on the parabolic Dirac operator introduced by
Cerejeiras, K?hler and Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated
Teodurescu and Cauchy-Bitsadze operators. Afterwards we will describe how to solve the nonlinear Schr?dinger equation using
Banach fixed point theorem. |
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Keywords: | Primary 30G35 Secondary 35A08 15A66 |
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