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

Authors

  • 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

Issue

Section

Short communications

How to Cite

Foiad, Sobhi Obaid. “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.