Abstract
We describe all weak solutions of a first-order differential equation in a Banach space on (0, ∞) and investigate their behavior in the neighborhood of zero. We use the results obtained to establish necessary and sufficient conditions for the essential maximal dissipativity of a dissipative operator in a Hilbert space.
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Gorbachuk, M.L., Gorbachuk, V.I. On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators. Ukr Math J 52, 694–702 (2000). https://doi.org/10.1007/BF02487282
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DOI: https://doi.org/10.1007/BF02487282