Decay rate of Lq norms of critical Schrödinger heat semigroups

Kazuhiro Ishige; Yoshitsugu Kabeya

doi:10.1007/978-88-470-2841-8_11

Decay rate of L^q norms of critical Schrödinger heat semigroups

Kazuhiro Ishige, Yoshitsugu Kabeya

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Let H:=−Δ+V be a critical Schrödinger operator on L²(R ^N), where N≥3 and V is a radially symmetric function decaying quadratically at the space infinity. We study the optimal decay rate of the operator norm of the Schrödinger heat semigroup e^−tH from L²(R^N) to L^q(R^N) (2≤q≤∞).

Original language	English
Pages (from-to)	165-178
Number of pages	14
Journal	Springer INdAM Series
Volume	2
DOIs	https://doi.org/10.1007/978-88-470-2841-8_11
Publication status	Published - 2013

Keywords

Critical Schrödinger operator
L−L estimate
Schrödinger heat semigroup

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-88-470-2841-8_11

Cite this

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title = "Decay rate of Lq norms of critical Schr{\"o}dinger heat semigroups",

abstract = "Let H:=−Δ+V be a critical Schr{\"o}dinger operator on L2(R N), where N≥3 and V is a radially symmetric function decaying quadratically at the space infinity. We study the optimal decay rate of the operator norm of the Schr{\"o}dinger heat semigroup e−tH from L2(RN) to Lq(RN) (2≤q≤∞).",

keywords = "Critical Schr{\"o}dinger operator, L−L estimate, Schr{\"o}dinger heat semigroup",

author = "Kazuhiro Ishige and Yoshitsugu Kabeya",

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year = "2013",

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T1 - Decay rate of Lq norms of critical Schrödinger heat semigroups

AU - Ishige, Kazuhiro

AU - Kabeya, Yoshitsugu

PY - 2013

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N2 - Let H:=−Δ+V be a critical Schrödinger operator on L2(R N), where N≥3 and V is a radially symmetric function decaying quadratically at the space infinity. We study the optimal decay rate of the operator norm of the Schrödinger heat semigroup e−tH from L2(RN) to Lq(RN) (2≤q≤∞).

AB - Let H:=−Δ+V be a critical Schrödinger operator on L2(R N), where N≥3 and V is a radially symmetric function decaying quadratically at the space infinity. We study the optimal decay rate of the operator norm of the Schrödinger heat semigroup e−tH from L2(RN) to Lq(RN) (2≤q≤∞).

KW - Critical Schrödinger operator

KW - L−L estimate

KW - Schrödinger heat semigroup

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JO - Springer INdAM Series

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