2017
Том 69
№ 9

# Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations

Portnyagin D. V.

Abstract

The $L^{∞}$-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation of linear combinations of the unknowns is used.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 8, pp 1223-1237.

Citation Example: Portnyagin D. V. Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations // Ukr. Mat. Zh. - 2006. - 58, № 8. - pp. 1084–1096.

Full text