Maximal regularity for second order non-autonomous Cauchy problems

Journal article

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 situations when the domains of B(t1) and A(t2) always coincide, or when A(t) = κB(t). © Instytut Matematyczny PAN, 2008.

Authors: Batty, C; Chill, R; Srivastava, S

• Publication status: Published
• Journal: STUDIA MATHEMATICA
• Volume: 189
• Issue: 3
• Pages: 205-223
• Publication date: 2008-01-01
• DOI: 10.4064/sm189-3-1
• EISSN: 1730-6337
• ISSN: 0039-3223
• Language: English
• Keywords: second order Cauchy problem; maximal regularity; non-autonomous