\(L_ p\)-regularity of the Cauchy problem and the geometry of Banach spaces

zbMath0845.47028MaRDI QIDQ1913491

Sylvie Guerre-Delabrière

Publication date: 16 September 1996

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularityunconditional basisdiagonal operators\(L_ p\)-regularityconvolution operator-multipliergenerator of analytic semi-groupsvector-valued Cauchy problem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spaces of vector- and operator-valued functions (46E40) General theory of ordinary differential operators (47E05) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (6)

Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces ⋮ A refinement of Baillon’s theorem on maximal regularity ⋮ EQUILATERAL SETS IN UNIFORMLY SMOOTH BANACH SPACES ⋮ Stochastic maximal \(L^{p}\)-regularity ⋮ Homogeneous Sobolev global-in-time maximal regularity and related trace estimates ⋮ On the \(R\)-boundedness of stochastic convolution operators

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