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Well-Posedness of the Bochner Integral Form of Operator-Valued Riccati Equations

Published 31 Oct 2023 in math.NA, cs.NA, and math.OC | (2310.20112v1)

Abstract: In this short paper, we prove that the Bochner integral form of the operator-valued Riccati equation has a unique solution if and only if its mild form has a unique solution. This implies that the mild and Bochner integral forms of this equation are equivalent. The result is obtained through an operator representation argument.

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Authors (1)

  1. James Cheung 

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