2017
Том 69
№ 9

All Issues

Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator

Statkevych V. M.

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Abstract

We consider Dirichlet problems for the Poisson equation and linear and nonlinear equations with essentially infinite-dimensional elliptic operator (of the Laplace -Levy type). The continuous dependence of solutions on boundary values and sufficient conditions for increasing the smoothness of solutions are investigated.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 2, pp 262-272.

Citation Example: Statkevych V. M. Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator // Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 229-236.

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