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

  • G. P. Lopushanskaya (Львiв. нац. ун-т, Ряшiв. ун-т, Польща)

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.
Published
25.02.1999
How to Cite
LopushanskayaG. P. “Solution of Boundary-Value Problems for Elliptic Equations in the Space of Distributions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 2, Feb. 1999, pp. 190–203, https://umj.imath.kiev.ua/index.php/umj/article/view/4598.
Section
Research articles