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

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Abstract

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.

Original language	English
Pages (from-to)	343-368
Number of pages	26
Journal	Advances in Differential Equations
Volume	5
Issue number	1-3
Publication status	Published - 2000

Cite this

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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.",

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AU - Duong, Xuan Thinh

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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

VL - 5

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EP - 368

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 1-3

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

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