Maximal Lp-Lq regularity for parabolic partial differential equations on manifolds with cylindrical ends

Thomas Krainer

doi:10.1007/s00020-009-1660-7

Maximal L^p-L^q regularity for parabolic partial differential equations on manifolds with cylindrical ends

Thomas Krainer

Division of Mathematics & Natural Sciences (Altoona)

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

3 Scopus citations

Abstract

We give a short, simple proof of maximal L ^p -L ^q regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of {\mathcal{R}}-boundedness for the resolvent.

Original language	English (US)
Pages (from-to)	521-531
Number of pages	11
Journal	Integral Equations and Operator Theory
Volume	63
Issue number	4
DOIs	https://doi.org/10.1007/s00020-009-1660-7
State	Published - Apr 2009

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory

Access to Document

10.1007/s00020-009-1660-7

Cite this

@article{764f0856f24c42b1981dcc8fe590073f,

title = "Maximal Lp-Lq regularity for parabolic partial differential equations on manifolds with cylindrical ends",

abstract = "We give a short, simple proof of maximal L p -L q regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of {\mathcal{R}}-boundedness for the resolvent.",

author = "Thomas Krainer",

year = "2009",

month = apr,

doi = "10.1007/s00020-009-1660-7",

language = "English (US)",

volume = "63",

pages = "521--531",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - Maximal Lp-Lq regularity for parabolic partial differential equations on manifolds with cylindrical ends

AU - Krainer, Thomas

PY - 2009/4

Y1 - 2009/4

N2 - We give a short, simple proof of maximal L p -L q regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of {\mathcal{R}}-boundedness for the resolvent.

AB - We give a short, simple proof of maximal L p -L q regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of {\mathcal{R}}-boundedness for the resolvent.

UR - http://www.scopus.com/inward/record.url?scp=67349264066&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349264066&partnerID=8YFLogxK

U2 - 10.1007/s00020-009-1660-7

DO - 10.1007/s00020-009-1660-7

M3 - Article

AN - SCOPUS:67349264066

SN - 0378-620X

VL - 63

SP - 521

EP - 531

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Maximal L^p-L^q regularity for parabolic partial differential equations on manifolds with cylindrical ends

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this