On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain
AbstractWe consider elliptic boundary-value problems in which the elliptic operator is a polynomial function of a small parameter and the boundary conditions contain additional unknown functions. It is shown that the condition of ellipticity with small parameter is not only sufficient but also necessary for the a priori estimation of the solutions to this problem in the corresponding special functional spaces depending on the parameter.
How to Cite
Zavorotinskii, A. V. “On Elliptic Boundary-Value Problems With Small Parameter and Additional Functions on the Boundary of a Domain”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 9, Sept. 2014, pp. 1269–1275, http://umj.imath.kiev.ua/index.php/umj/article/view/2218.