Boundedness of weak solutions of a nondiagonal parabolic system of two equations
We study the problem of boundedness of weak solutions of a general nondiagonal parabolic system of nonlinear differential equations whose matrix of coefficients satisfies special structural conditions. To do this, we use a procedure based on the estimation of a certain function of unknowns.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 3, pp 478-489.
Citation Example: Portnyahin D. V. Boundedness of weak solutions of a nondiagonal parabolic system of two equations // Ukr. Mat. Zh. - 2009. - 61, № 3. - pp. 400-407.