On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain

  • A. V. Zavorotinskii

Abstract

We 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.
Published
25.09.2014
How to Cite
ZavorotinskiiA. 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.
Section
Research articles