21.—Runge's Theorem for Parabolic Equations in Two Space Variables
DAVID L. COLTON · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1975
Synopsis Let u be a real valued strong solution defined in a cylindrical domain of a linear second-order parabolic equation in two space variables with entire coefficients. Then it is shown that on compact subsets of its domain of definition u can be approximated arbitrarily closely in the maximum norm by an entire solution of the parabolic equation.