On unique continuation of solutions of Schrödinger equations

Abstract

We study uniqueness properties of solutions of Schrödinger equations. The aim is to obtain sufficient conditions on the decay behavior of the difference of two solution $u_1-u_2$ of the equation at two different times $t_0=0$ and $t_1=1$ which guarantee the uniqueness of the solution, i.e. that $u_1\equiv u_2$.

Cited by in corpus (4)

• On the decay properties of solutions to a class of Schrödinger equations
• Unique continuation principle for high order equations of Korteweg-de Vries type
• Unique Continuation Properties for solutions to the Camassa-Holm equation and other non-local equations
• Unique continuation for the Schrodinger equation with gradient vector potentials