Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D

研究成果: Chapter

1 引用 (Scopus)

抄録

In this paper we study spectral properties associated to the Schrödinger operator − Δ −Wwith potential W that is an exponentially decaying C 1 function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.

元の言語English
ホスト出版物のタイトルProgress in Mathematics
出版者Springer Basel
ページ115-143
ページ数29
301
DOI
出版物ステータスPublished - 2012
外部発表Yes

出版物シリーズ

名前Progress in Mathematics
301
ISSN(印刷物)0743-1643
ISSN(電子版)2296-505X

Fingerprint

Local Energy Decay
Potential Operators
Spectral Properties
Wave equation
Zero
Operator
Energy

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

これを引用

Gueorguiev, V. S., & Tarulli, M. (2012). Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. : Progress in Mathematics (巻 301, pp. 115-143). (Progress in Mathematics; 巻数 301). Springer Basel. https://doi.org/10.1007/978-3-0348-0454-7_7

Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. / Gueorguiev, Vladimir Simeonov; Tarulli, Mirko.

Progress in Mathematics. 巻 301 Springer Basel, 2012. p. 115-143 (Progress in Mathematics; 巻 301).

研究成果: Chapter

Gueorguiev, VS & Tarulli, M 2012, Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. : Progress in Mathematics. 巻. 301, Progress in Mathematics, 巻. 301, Springer Basel, pp. 115-143. https://doi.org/10.1007/978-3-0348-0454-7_7
Gueorguiev VS, Tarulli M. Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. : Progress in Mathematics. 巻 301. Springer Basel. 2012. p. 115-143. (Progress in Mathematics). https://doi.org/10.1007/978-3-0348-0454-7_7
Gueorguiev, Vladimir Simeonov ; Tarulli, Mirko. / Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. Progress in Mathematics. 巻 301 Springer Basel, 2012. pp. 115-143 (Progress in Mathematics).
@inbook{61ed0412dcf14676bd3c7e0c5b8bfb52,
title = "Dispersive properties of Schr{\"o}dinger operators in the absence of a resonance at zero energy in 3D",
abstract = "In this paper we study spectral properties associated to the Schr{\"o}dinger operator − Δ −Wwith potential W that is an exponentially decaying C 1 function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.",
keywords = "Local energy decay, Resonances, Schr{\"o}dinger equation, Solitary solutions, Wave equation",
author = "Gueorguiev, {Vladimir Simeonov} and Mirko Tarulli",
year = "2012",
doi = "10.1007/978-3-0348-0454-7_7",
language = "English",
volume = "301",
series = "Progress in Mathematics",
publisher = "Springer Basel",
pages = "115--143",
booktitle = "Progress in Mathematics",

}

TY - CHAP

T1 - Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D

AU - Gueorguiev, Vladimir Simeonov

AU - Tarulli, Mirko

PY - 2012

Y1 - 2012

N2 - In this paper we study spectral properties associated to the Schrödinger operator − Δ −Wwith potential W that is an exponentially decaying C 1 function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.

AB - In this paper we study spectral properties associated to the Schrödinger operator − Δ −Wwith potential W that is an exponentially decaying C 1 function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for the NLS.

KW - Local energy decay

KW - Resonances

KW - Schrödinger equation

KW - Solitary solutions

KW - Wave equation

UR - http://www.scopus.com/inward/record.url?scp=85028062159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028062159&partnerID=8YFLogxK

U2 - 10.1007/978-3-0348-0454-7_7

DO - 10.1007/978-3-0348-0454-7_7

M3 - Chapter

VL - 301

T3 - Progress in Mathematics

SP - 115

EP - 143

BT - Progress in Mathematics

PB - Springer Basel

ER -