Maximal regularity for second order non-autonomous Cauchy problems

We consider some non-autonomous second order Cauchy problems of the form ü + B(t)̇ + A(t)u = f (t ∈ [0, T]), u(0) = ̇(0) = 0. We assume that the first order problem ü + B(t)u = f (t∈ [0, T]), u(0) = 0, has Lp-maximal regularity. Then we establish Lp-maximal regularity of the second order problem in...

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Bibliographic Details
Main Authors: Batty, C, Chill, R, Srivastava, S
Format: Journal article
Language:English
Published: 2008