Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations
Dmitry Portnyagin
Annales Polonici Mathematici, Tome 89 (2006), p. 205-227 / Harvested from The Polish Digital Mathematics Library
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Hölder continuity of weak solutions is studied for a nondiagonal parabolic system of singular quasilinear differential equations with matrix of coefficients satisfying special structure conditions. A technique based on estimating linear combinations of the unknowns is employed.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280444 
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     author = {Dmitry Portnyagin},
     title = {H\"older continuity of weak solutions to nondiagonal singular parabolic systems of three equations},
     journal = {Annales Polonici Mathematici},
     volume = {89},
     year = {2006},
     pages = {205-227},
     zbl = {1113.35090},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-3-2}
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Dmitry Portnyagin. Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations. Annales Polonici Mathematici, Tome 89 (2006) pp. 205-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-3-2/