Differential and Integral Equations
- Differential Integral Equations
- Volume 18, Number 11 (2005), 1257-1271.
Uniqueness theorem of the Cauchy problem for Schrödinger's equation in weighted Sobolev spaces
The present paper is concerned with the uniqueness of solutions to the Cauchy problem for the free Schrödinger equation. It is proved by the wellposedness of the associated adjoint problem that the solution to the Cauchy problem is unique in exponential weighted Sobolev spaces.
Differential Integral Equations, Volume 18, Number 11 (2005), 1257-1271.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35S30: Fourier integral operators
Dan, Yuya. Uniqueness theorem of the Cauchy problem for Schrödinger's equation in weighted Sobolev spaces. Differential Integral Equations 18 (2005), no. 11, 1257--1271. https://projecteuclid.org/euclid.die/1356059741