On a property of solutions to the poisson equation on polygons |
| |
| Authors: | E A Volkov |
| |
| Institution: | (1) V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR |
| |
| Abstract: | It is proved that an equilateral triangle is the unique polygon on which the solution of the equation Δu=1 with homogeneous boundary conditions is an algebraic polynomial, and moreover, the degree of this polynomial is equal to
3.
Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 178–180, August, 1999. |
| |
| Keywords: | algebraic polynomial polygon Poisson equation Dirichlet problem |
| 本文献已被 SpringerLink 等数据库收录！ |
|
