2019
Том 71
№ 11

All Issues

Solution of boundary-value problems for elliptic equations in the space of distributions

Lopushanskaya G. P.

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Abstract

We extend the well-known approach to solution of generalized boundary-value problems for second-order elliptic and parabolic equations and for second-order strongly elliptic systems of variational type to the case of a general normal boundary-value problem for an elliptic equation of order2m. The representation of a distribution from (C (S))’ is established and is usedfor the proof of convergence of an approximate method of solution of a normal elliptic boundary-value problem in unnormed spaces of distributions.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 2, pp 208-223.

Citation Example: Lopushanskaya G. P. Solution of boundary-value problems for elliptic equations in the space of distributions // Ukr. Mat. Zh. - 1999. - 51, № 2. - pp. 190–203.

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