Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator
AbstractWe 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.
How to Cite
StatkevychV. M. “Investigation of Solutions of Boundary-Value Problems With Essentially Infinite-Dimensional Elliptic Operator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 2, Feb. 2012, pp. 229-36, http://umj.imath.kiev.ua/index.php/umj/article/view/2569.