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Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: A(t)-caloric method

Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type... AbstractWe prove a modification of the so-called A⁢(t)A(t)-caloric lemma stated in our earlier work with O. John [1] to study regularity of weak solutions to parabolic systems of non-divergence type with non-smooth in time principal matrices. As an application, we prove smoothness results in Morreyand Campanato spaces for linear parabolic systems of non-divergence type by the A⁢(t)A(t)-caloricapproximation method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: A(t)-caloric method

Forum Mathematicum , Volume 29 (5): 26 – Sep 1, 2017

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References (9)

Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1435-5337
eISSN
1435-5337
DOI
10.1515/forum-2015-0222
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove a modification of the so-called A⁢(t)A(t)-caloric lemma stated in our earlier work with O. John [1] to study regularity of weak solutions to parabolic systems of non-divergence type with non-smooth in time principal matrices. As an application, we prove smoothness results in Morreyand Campanato spaces for linear parabolic systems of non-divergence type by the A⁢(t)A(t)-caloricapproximation method.

Journal

Forum Mathematicumde Gruyter

Published: Sep 1, 2017

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