Geodesic
Full regularity of bounded solutions to nondiagonal parabolic systems of two equations
Dmitry Portnyagin1
1 Institute for Condensed Matter Physics National Academy of Sciences of Ukraine 1 Svientsitskii Street, 79011 Lviv, Ukraine
Applicationes Mathematicae, Tome 35 (2008) no. 1, pp. 69-79 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Hölder continuity and, basing on this, full regularity and global existence of weak solutions is studied for a general nondiagonal parabolic system of nonlinear differential equations with the matrix of coefficients satisfying special structure conditions and depending on the unknowns. A technique based on estimating a certain function of unknowns is employed to this end.
DOI : 10.4064/am35-1-4
Keywords: lder continuity basing full regularity global existence weak solutions studied general nondiagonal parabolic system nonlinear differential equations matrix coefficients satisfying special structure conditions depending unknowns technique based estimating certain function unknowns employed end

Dmitry Portnyagin 1

1 Institute for Condensed Matter Physics National Academy of Sciences of Ukraine 1 Svientsitskii Street, 79011 Lviv, Ukraine 
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Dmitry Portnyagin. Full regularity of bounded solutions to
 nondiagonal parabolic systems of
 two equations. Applicationes Mathematicae, Tome 35 (2008) no. 1, pp. 69-79. doi: 10.4064/am35-1-4

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