## Differential and Integral Equations

### On first-order perturbations of the Schrödinger equation with conjugation

Atanas Stefanov

#### Abstract

We show that first-order perturbations of the Schrödinger equation with conjugation are globally and uniquely solvable for $L^2$ initial data. Global Strichartz estimates are established under minimal assumptions on the "conjugate magnetic" potential.

#### Article information

Source
Differential Integral Equations, Volume 18, Number 9 (2005), 997-1012.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060119

Mathematical Reviews number (MathSciNet)
MR2162984

Zentralblatt MATH identifier
1200.35237

#### Citation

Stefanov, Atanas. On first-order perturbations of the Schrödinger equation with conjugation. Differential Integral Equations 18 (2005), no. 9, 997--1012. https://projecteuclid.org/euclid.die/1356060119