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Preprints, Working Papers, ... Year : 2016

Extrapolation of L_p maximal regularity for second order Cauchy problems

Abstract

If the second order problem u'' + Bu' + Au = f has L p-maximal regularity for some p ∈ (1, ∞), then it has E_w-maximal regularity for every rearrangement invariant Banach function space E with Boyd indices p_E, q_E ∈ (1, ∞) and for every Muckenhoupt weight w ∈ A p- .
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Dates and versions

hal-01278387 , version 1 (24-02-2016)

Identifiers

  • HAL Id : hal-01278387 , version 1

Cite

Ralph Chill, Sebastian Krol. Extrapolation of L_p maximal regularity for second order Cauchy problems. 2016. ⟨hal-01278387⟩
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