Maximal regularity for non-autonomous Cauchy problems in weighted spaces

We consider the regularity for the non-autonomous Cauchy problem $$ u'(t) + A(t) u(t) = f(t)\quad (t \in [0, \tau]), \quad u(0) = u_0. $$ The time dependent operator A(t) is associated with (time dependent) sesquilinear forms on a Hilbert space $\mathcal{H}$. We prove the maximal regular...

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Bibliographic Details
Main Authors: Achache Mahdi, Tebbani Hossni
Format: Article
Language:English
Published: Texas State University 2020-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/124/abstr.html

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