This article is cited in 1 paper

Вычислительные методы и приложения

Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data

N. L. Gol'dman

Lomonosov Moscow State University, Research Computing Center

Abstract: The uniqueness problem in Hoelder spaces is studied for the uncharacteristic Cauchy problems arising when determining the unknown right-hand sides of parabolic equations. A relation between this problem and the density properties of the solutions to the corresponding adjoint problems is found.

Keywords: parabolic equations, Cauchy problem, adjoint problems, uniqueness conditions, Hoelder spaces.

UDC: 517.958