Full regularity of bounded solutions to nondiagonal parabolic systems of two equations

Dmitry Portnyagin. "Full regularity of bounded solutions to nondiagonal parabolic systems of two equations." Applicationes Mathematicae 35.1 (2008): 69-79. <http://eudml.org/doc/279852>.

@article{DmitryPortnyagin2008,
abstract = {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.},
author = {Dmitry Portnyagin},
journal = {Applicationes Mathematicae},
keywords = {nondiagonal parabolic systems; Hölder continuity; Dirichlet data},
language = {eng},
number = {1},
pages = {69-79},
title = {Full regularity of bounded solutions to nondiagonal parabolic systems of two equations},
url = {http://eudml.org/doc/279852},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Dmitry Portnyagin
TI - Full regularity of bounded solutions to nondiagonal parabolic systems of two equations
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 1
SP - 69
EP - 79
AB - 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.
LA - eng
KW - nondiagonal parabolic systems; Hölder continuity; Dirichlet data
UR - http://eudml.org/doc/279852
ER -