2017
Том 69
№ 6

All Issues

A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations

Belopol’skaya Ya. I.

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Abstract

We prove a priori estimates for a solution of the first initial boundary-value problem for a system of fully nonlinear partial differential equations (PDE) in a bounded domain. In the proof, we reduce the initial boundary-value problem to a problem on a manifold without boundary and then reduce the resulting system on the manifold to a scalar equation on the total space of the corresponding bundle over the manifold.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 3, pp 338–363.

Citation Example: Belopol’skaya Ya. I. A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations // Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 338–363.

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