Adjoints of Sums of M-Accretive Operators and Applications to Non-Autonomous Evolutionary Equations
DOI:
https://doi.org/10.52825/dae-p.v2i.994Keywords:
Evolutionary Equations, Non-autonomous Equations, m-accretive OperatorsAbstract
We provide certain compatibility conditions for m-accretive operators such that the adjoint of the sum is given by the closure of the sum of the respective adjoint. We revisit the proof of well-posedness of the abstract class of partial differential-algebraic equations known as evolutionary equations. We show that the general mechanism provided here can be applied to establish wellposedness for non-autonomous evolutionary equations with L∞-coefficients thus not only generalizing known results but opening up new directions other methods such as evolution families have a hard time to come by.
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Copyright (c) 2024 Rainer Picard, Sascha Trostorff, Marcus Waurick
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2024-05-01
Published 2024-05-30
