L ∞-estimates for parabolic systems with VMO-coefficients

Horst Heck; Matthias Georg Hieber; Kyriakos Stavrakidis

doi:10.3934/dcdss.2010.3.299

L ^∞-estimates for parabolic systems with VMO-coefficients

Horst Heck^*, Matthias Georg Hieber, Kyriakos Stavrakidis

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

In this paper we prove L ^∞-a priori estimates for parabolic evolution equations in non-divergence form on all of ℝ ⁿ for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.

Original language	English
Pages (from-to)	299-309
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	3
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2010.3.299
Publication status	Published - 2010 Jun
Externally published	Yes

Keywords

L
Parabolic systems
VMO

ASJC Scopus subject areas

Analysis
Applied Mathematics
Discrete Mathematics and Combinatorics

Access to Document

10.3934/dcdss.2010.3.299

Cite this

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title = "L ∞-estimates for parabolic systems with VMO-coefficients",

abstract = "In this paper we prove L ∞-a priori estimates for parabolic evolution equations in non-divergence form on all of ℝ n for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.",

keywords = "L, Parabolic systems, VMO",

author = "Horst Heck and Hieber, {Matthias Georg} and Kyriakos Stavrakidis",

year = "2010",

month = jun,

doi = "10.3934/dcdss.2010.3.299",

language = "English",

volume = "3",

pages = "299--309",

journal = "Discrete and Continuous Dynamical Systems - Series S",

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publisher = "American Institute of Mathematical Sciences",

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AU - Heck, Horst

AU - Hieber, Matthias Georg

AU - Stavrakidis, Kyriakos

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AB - In this paper we prove L ∞-a priori estimates for parabolic evolution equations in non-divergence form on all of ℝ n for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.

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KW - Parabolic systems

KW - VMO

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DO - 10.3934/dcdss.2010.3.299

M3 - Article

AN - SCOPUS:81955167830

SN - 1937-1632

VL - 3

SP - 299

EP - 309

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

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