Analyticity and Discrete Maximal Regularity on Lp-Spaces
نویسندگان
چکیده
منابع مشابه
Maximal regularity for evolution equations in weighted Lp - spaces
LetX be a Banach space and let A be a closed linear operator on X. It is shown that the abstract Cauchy problem u̇(t)+ Au(t) = f (t), t > 0, u(0) = 0, enjoys maximal regularity in weighted Lp-spaces with weights ω(t) = tp(1−μ), where 1/p < μ, if and only if it has the property of maximal Lp-regularity. Moreover, it is also shown that the derivation operator D = d/dt admits anH∞-calculus in weigh...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2001
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3740