Title of article
Lp-maximal regularity for non-autonomous evolution equations
Author/Authors
Wolfgang Arendt، نويسنده , , Ralph Chill، نويسنده , , Simona Fornaro، نويسنده , , César Poupaud، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
26
From page
1
To page
26
Abstract
Let be strongly measurable and bounded, where D, X are Banach spaces such that D X. We assume that the operator A(t) has maximal regularity for all t [0,τ]. Then we show under some additional hypothesis (viz. relative continuity) that the non-autonomous problem is well-posed in Lp; i.e. for all f Lp(0,τ;X) and all there exists a unique u W1,p(0,τ;X)∩Lp(0,τ;D) solution of (P), where 1
Keywords
First order Cauchy problem , Second order Cauchy problem , Nonlinear diffusion equation , Nonlinear wave equation , Lp-maximal regularity , Non-autonomous
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2007
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751173
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