International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 29-35
doi:10.1155/S0161171285000023
A trace theorem for caloric functions
H.N. Mhaskar
Department of Mathematics and Computer Science, California State University, Los Angeles 90032, California, USA
Abstract
Given a solution of the heat equation in an open strip, we state necessary and sufficient conditions for the existence of a boundary function in a given weighted Banach space. We then investigate the relationship between the smoothness of this boundary function and the growth of the solution of the heat equation.