Regularity in Lp Sobolev spaces of solutions to fractional heat equations

Gerd Grubb

doi:10.1016/j.jfa.2017.12.011

Regularity in L_pSobolev spaces of solutions to fractional heat equations

Department of Mathematical Sciences

9 Citations (Scopus)

Original language	English
Journal	Journal of Functional Analysis
Volume	274
Issue number	9
Pages (from-to)	2634-2660
ISSN	0022-1236
DOIs	https://doi.org/10.1016/j.jfa.2017.12.011
Publication status	Published - 1 May 2018

Keywords

Nonlocal heat equation
Fractional Laplacian
Stable process
Pseudodifferential operator
Dirichlet condition
Lp Sobolev regularity

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10.1016/j.jfa.2017.12.011

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title = "Regularity in Lp Sobolev spaces of solutions to fractional heat equations",

keywords = "Nonlocal heat equation, Fractional Laplacian, Stable process, Pseudodifferential operator, Dirichlet condition, Lp Sobolev regularity",

author = "Gerd Grubb",

year = "2018",

month = may,

day = "1",

doi = "10.1016/j.jfa.2017.12.011",

language = "English",

volume = "274",

pages = "2634--2660",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press",

number = "9",

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TY - JOUR

T1 - Regularity in Lp Sobolev spaces of solutions to fractional heat equations

AU - Grubb, Gerd

PY - 2018/5/1

Y1 - 2018/5/1

KW - Nonlocal heat equation

KW - Fractional Laplacian

KW - Stable process

KW - Pseudodifferential operator

KW - Dirichlet condition

KW - Lp Sobolev regularity

U2 - 10.1016/j.jfa.2017.12.011

DO - 10.1016/j.jfa.2017.12.011

M3 - Journal article

SN - 0022-1236

VL - 274

SP - 2634

EP - 2660

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 9

ER -

Regularity in Lp Sobolev spaces of solutions to fractional heat equations

Keywords

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Regularity in L_pSobolev spaces of solutions to fractional heat equations