2017
Том 69
№ 9

All Issues

Boundedness of weak solutions of a nondiagonal parabolic system of two equations

Portnyahin D. V.

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Abstract

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.

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