Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Published 2022-04-09Version 1
The Representation Theorem of Lions (RTL) is a version of the Lax--Milgram Theorem where completeness of one of the spaces is not complete. In this paper, RTL is deduced from an operator-theoretical version on normed space. The main point of the paper is a theory of derivations, based on RTL, for which well-posedness is proved. One application concerns non-autonomous evolution equations with a new initial-value and a periodic boundary condition for the time variable.
Generalizations of the Lax-Milgram theorem
A representation theorem for order continuous Banach lattices
A Representation Theorem for Completely Contractive Dual Banach Algebras
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