Completeness theorems on the boundary for a parabolic equation

Alberto Cialdea, Carmine Sebastiano Mare

Let $\{v_{\alpha }\}$ be a system of polynomial solutions of the parabolic equation $a_{hk}{\partial }_{x_h{x}_k}u-{\partial }_{t}u=0$ in a bounded $C^1$-cylinder ${\Omega }_T$ contained in $\math…