Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations

Dmitry Portnyagin

Annales Polonici Mathematici (2006)

  • Volume: 88, Issue: 3, page 205-227
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Dmitry Portnyagin. "Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations." Annales Polonici Mathematici 88.3 (2006): 205-227. <http://eudml.org/doc/280444>.

@article{DmitryPortnyagin2006,
abstract = {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.},
author = {Dmitry Portnyagin},
journal = {Annales Polonici Mathematici},
keywords = {Nondiagonal parabolic systems; Hölder continuity of solutions; singular equations; three equations; Dirichlet problem},
language = {eng},
number = {3},
pages = {205-227},
title = {Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations},
url = {http://eudml.org/doc/280444},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Dmitry Portnyagin
TI - Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 3
SP - 205
EP - 227
AB - 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.
LA - eng
KW - Nondiagonal parabolic systems; Hölder continuity of solutions; singular equations; three equations; Dirichlet problem
UR - http://eudml.org/doc/280444
ER -

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