Differential and Integral Equations

On first-order perturbations of the Schrödinger equation with conjugation

Atanas Stefanov

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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

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50] 35J10: Schrödinger operator [See also 35Pxx]

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


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