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

CY Cergy Paris Université
Macquarie University

Research output: Contribution to journal › Article › peer-review

90 Citations (Scopus)

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 - 1 Dec 2000
Externally published	Yes

Cite this

@article{13be067ac5d84f40ad430c53434b4f57,

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",

month = dec,

day = "1",

language = "English",

volume = "5",

pages = "343--368",

journal = "Advances in Differential Equations",

issn = "1079-9389",

publisher = "Khayyam Publishing",

number = "1-3",

}

TY - JOUR

T1 - Maximal regularity and kernel bounds

T2 - Observations on a theorem by Hieber and Prüss

AU - Coulhon, Thierry

AU - Duong, Xuan Thinh

PY - 2000/12/1

Y1 - 2000/12/1

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.

M3 - Article

AN - SCOPUS:0000614873

SN - 1079-9389

VL - 5

SP - 343

EP - 368

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 1-3

ER -

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

Abstract

Fingerprint

Cite this