On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients

  • Sobhi Obaid Foiad

Abstract

We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients, whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain polynomial of the first degree in the nonperiodic variable. Coefficients of this polynomial are determined.
Published
25.03.1998
How to Cite
FoiadS. O. “On the Limit Polynomial for a Solution of an Elliptic Equation of the Fourth Order With Constant Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 3, Mar. 1998, pp. 437–444, https://umj.imath.kiev.ua/index.php/umj/article/view/4946.
Section
Short communications