Global higher integrability for parabolic quasiminimizers in metric measure spaces

Mathias Masson; Mikko Parviainen

doi:10.1007/s11854-015-0019-z

Global higher integrability for parabolic quasiminimizers in metric measure spaces

Mathias Masson^*, Mikko Parviainen

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

5 Sitaatiot (Scopus)

Abstrakti

We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces related to the heat equation. We assume the underlying metric measure space to be equipped with a doubling measure and to support a weak Poincaré inequality. The boundary of the domain is assumed to satisfy a regularity condition.

Alkuperäiskieli	Englanti
Sivut	307-339
Sivumäärä	33
Julkaisu	JOURNAL D ANALYSE MATHEMATIQUE
Vuosikerta	126
Numero	1
DOI - pysyväislinkit	https://doi.org/10.1007/s11854-015-0019-z
Tila	Julkaistu - 20 huhtikuuta 2015
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1007/s11854-015-0019-z

Link to publication in Scopus

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Siteeraa tätä

Masson, M., & Parviainen, M. (2015). Global higher integrability for parabolic quasiminimizers in metric measure spaces. JOURNAL D ANALYSE MATHEMATIQUE, 126(1), 307-339. https://doi.org/10.1007/s11854-015-0019-z

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