Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Mathias Masson; Juhana Siljander

doi:10.1007/s00229-012-0598-2

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

Mathias Masson^*, Juhana Siljander

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

University of Helsinki

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

21 Sitaatiot (Scopus)

Abstrakti

We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincaré inequality and to satisfy the annular decay property.

Alkuperäiskieli	Englanti
Sivut	187-214
Sivumäärä	28
Julkaisu	Manuscripta Mathematica
Vuosikerta	142
Numero	1-2
DOI - pysyväislinkit	https://doi.org/10.1007/s00229-012-0598-2
Tila	Julkaistu - 2013
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1007/s00229-012-0598-2

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T1 - Hölder regularity for parabolic De Giorgi classes in metric measure spaces

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AU - Siljander, Juhana

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AB - We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincaré inequality and to satisfy the annular decay property.

KW - 31E05

KW - Primary 35B65

KW - Secondary 35K65

UR - http://www.scopus.com/inward/record.url?scp=84880810829&partnerID=8YFLogxK

U2 - 10.1007/s00229-012-0598-2

DO - 10.1007/s00229-012-0598-2

M3 - Article

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ER -

Hölder regularity for parabolic De Giorgi classes in metric measure spaces

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