Extrapolation of L p maximal regularity for second order Cauchy problemsReport as inadecuate




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1 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine 2 Faculty of Mathematics and Informatics Nicholas Copernicus University of Torun, Poland FMCS - Faculty of Mathematics and Computer Science, Torun Poland

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- .

Keywords : Second order Cauchy problem Rearrangement invariant Banach function space Extrapolation Maximal regularity Singular integral operators





Author: Ralph Chill - Sebastian Krol -

Source: https://hal.archives-ouvertes.fr/



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