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• W3004839724 abstract "Form methods are most efficient to prove generation theorems for semigroups but also for proving selfadjointness. So far those theorems are based on a coercivity notion which allows the use of the Lax-Milgram Lemma. Here we consider weaker essential versions of coerciveness which already suffice to obtain the generator of a semigroup S or a selfadjoint operator. We also show that one of these properties, namely essentially positive coerciveness implies a very special asymptotic behaviour of S, namely asymptotic compactness; i.e. that dist(S(t),K(H)) tends to 0 as t tends to infinity, where K(H) denotes the space of all compact operators on the underlying Hilbert space." @default.
• W3004839724 created "2020-02-14" @default.
• W3004839724 creator A5019007311 @default.
• W3004839724 creator A5067588197 @default.
• W3004839724 date "2020-02-04" @default.
• W3004839724 modified "2023-09-27" @default.
• W3004839724 title "Essentially coercive forms and asympotically compact semigroups" @default.
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• W3004839724 hasPublicationYear "2020" @default.
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