Maximal regularity and kernel bounds: Observations on a theorem by Hieber and Prüss

Thierry Coulhon; Xuan Thinh Duong

Maximal regularity and kernel bounds: Observations on a theorem by Hieber and Prüss

Thierry Coulhon
, Xuan Thinh Duong

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

For 1 < p,q < +∞, we show the maximal L^q regularity for the inhomogeneous evolution equation in L^p(Ω) associated with the infinitesimal generator of a semigroup whose kernel satisfies suitable upper bounds, with Ω a subset of a space of homogeneous type.

langue originale	Anglais
Pages (de - à)	343-368
Nombre de pages	26
journal	Advances in Differential Equations
Volume	5
Numéro de publication	1-3
état	Publié - 1 déc. 2000
Modification externe	Oui

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title = "Maximal regularity and kernel bounds: Observations on a theorem by Hieber and Pr{\"u}ss",

abstract = "For 1 < p,q < +∞, we show the maximal Lq regularity for the inhomogeneous evolution equation in Lp(Ω) associated with the infinitesimal generator of a semigroup whose kernel satisfies suitable upper bounds, with Ω a subset of a space of homogeneous type.",

author = "Thierry Coulhon and Duong, \{Xuan Thinh\}",

year = "2000",

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N2 - For 1 < p,q < +∞, we show the maximal Lq regularity for the inhomogeneous evolution equation in Lp(Ω) associated with the infinitesimal generator of a semigroup whose kernel satisfies suitable upper bounds, with Ω a subset of a space of homogeneous type.

AB - For 1 < p,q < +∞, we show the maximal Lq regularity for the inhomogeneous evolution equation in Lp(Ω) associated with the infinitesimal generator of a semigroup whose kernel satisfies suitable upper bounds, with Ω a subset of a space of homogeneous type.

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SN - 1079-9389

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JO - Advances in Differential Equations

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Maximal regularity and kernel bounds: Observations on a theorem by Hieber and Prüss

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