An a priori estimate for solutions of some quasilinear parabolic systems. II

T. D. Ventsel'


Abstract: In this paper the first boundary value problem for systems of type (I) is studied. Under some conditions on $\Phi$, $\Psi$ an apriori estimate for $|u|$ is established; in case when $\Psi=|u|^2$ from such an estimate it follows that the solution exists in the large.

UDC: 517.544

Received: 07.02.1967

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