Remarks on maximal regularity
| Autor: | Auscher, Pascal, Axelsson, Andreas |
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| Přispěvatelé: | Laboratoire de Mathématiques d'Orsay (LM-Orsay), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Matematiska institutionen, Stockholms universitet |
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
maximal regularity
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] abstract Cauchy problem [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] fractional powers Kato's inequality Functional Analysis (math.FA) Mathematics - Functional Analysis Mathematics - Analysis of PDEs MSC 2000 : 47D06 35K90 47A60 Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] weighted estimates 47D06 35K90 47A60 Cotlar's lemma Analysis of PDEs (math.AP) |
| Popis: | We prove weighted estimates for the maximal regularity operator. Such estimates were motivated by boundary value problems. We take this opportunity to study a class of weak solutions to the abstract Cauchy problem. We also give a new proof of maximal regularity for closed and maximal accretive operators following from Kato's inequality for fractional powers and almost orthogonality arguments. submitted to a volume in honor of Amann's birthday |
| Databáze: | OpenAIRE |
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