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The purpose of this work is to establishes the existence and uniqueness of the Schrödinger problem solution in the extended Colombeau algebra <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Gₑ</tex> . Then we look at the association notion in conjunction with the classic solution.
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Benmerrous et al. (2022) studied this question.