Batty, Charles JK and Chill, Ralph and Srivastava, Sachi (2008) Maximal regularity for second order non-autonomous Cauchy problems. In: Studia Mathematica, 189 (3). pp. 205-223.
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Official URL: http://journals.impan.pl/cgi-bin/doi?sm189-3-1
Abstract
We consider some non-autonomous second order Cauchy problems of the form u + B(t)(u) over dot + A(t)u = f (t is an element of [0, T]), u(0) = (u) over dot(0) = 0. We assume that the first order problem (u) over dot + B(t)u = f (t is an element of [0, T]), u(0) = 0, has L-p-maximal regularity. Then we establish L-p-maximal regularity of the second order problem in situations when the domains of B(t(1)) and A(t(2)) always coincide, or when A(t) = kappa B(t).
| Item Type: | Journal Article |
|---|---|
| Publication: | Studia Mathematica |
| Publisher: | Institute of Mathematics of the Polish Academy of Sciences |
| Additional Information: | Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences. |
| Keywords: | maximal regularity;non-autonomous;second order Cauchy problem. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 09 Dec 2009 12:14 |
| Last Modified: | 09 Dec 2009 12:14 |
| URI: | http://eprints.iisc.ac.in/id/eprint/19715 |
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