TY - JOUR AU - D. V. Portnyagin PY - 2006/08/25 Y2 - 2024/03/29 TI - Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 58 IS - 8 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3515 AB - 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. ER -