Regularity and Decay of Solutions to the Stark Evolution Equation

M. Ben-Artzi*, A. Devinatz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Long-time behavior and regularity are studied for solutions of the Stark equationut=i(-Δ-x1+V(x))u,u(0,x)∈L 2(Rn). It is shown that for a class of short-range potentialsV(x) the gain of local smoothness and the decay as t→∞ are close to those of the corresponding Schrödinger equationut=i(-Δ+V(x))u.

Original languageEnglish
Pages (from-to)501-512
Number of pages12
JournalJournal of Functional Analysis
Volume154
Issue number2
DOIs
StatePublished - 20 Apr 1998

Keywords

  • Stark Hamiltonian, global regularity, long-time decay

Fingerprint

Dive into the research topics of 'Regularity and Decay of Solutions to the Stark Evolution Equation'. Together they form a unique fingerprint.

Cite this