L p -regularity for fourth order parabolic systems with measurable coefficients

Sun-Sig Byun; Lihe Wang

doi:10.1007/s00209-011-0947-y

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L p -regularity for fourth order parabolic systems with measurable coefficients

Journal article

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L p -regularity for fourth order parabolic systems with measurable coefficients

Sun-Sig Byun and Lihe Wang

Mathematische Zeitschrift, Vol.272(1-2), pp.515-530

10/2012

DOI: 10.1007/s00209-011-0947-y

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Abstract

We treat fourth order parabolic systems in divergence form with bounded measurable coefficients. We establish Hessian estimates for such parabolic systems by proving that the L p-regularity of the inhomogeneous terms exactly reflects in the regularity of the Hessian of the solutions for every p∈(1,∞) . The assumptions are that the coefficients are allowed to be merely measurable in one of spatial variables, but averaged in the other spatial variables and time variable.

Details

Title: Subtitle: L p -regularity for fourth order parabolic systems with measurable coefficients
Creators: Sun-Sig Byun
Lihe Wang
Resource Type: Journal article
Publication Details: Mathematische Zeitschrift, Vol.272(1-2), pp.515-530
DOI: 10.1007/s00209-011-0947-y
ISSN: 0025-5874
eISSN: 1432-1823
Language: English
Date published: 10/2012
Academic Unit: Mathematics
Record Identifier: 9984083829702771

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