Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data

Andrew Morris; Andrew Turner

doi:10.1016/j.jfa.2024.110680

Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data

Andrew Morris^*, Andrew Turner

^*Corresponding author for this work

Mathematics

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

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Original language	English
Article number	110680
Number of pages	95
Journal	Journal of Functional Analysis
Volume	288
Issue number	1
Early online date	23 Sept 2024
DOIs	https://doi.org/10.1016/j.jfa.2024.110680
Publication status	Published - 1 Jan 2025

Keywords

Boundary value problems
Schrödinger equations
Holomorphic functional calculus
Kato square root estimates

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10.1016/j.jfa.2024.110680Licence: Creative Commons: Attribution (CC BY)

MorrisA2024SolvabilityFinal published version, 1.32 MBLicence: Creative Commons: Attribution (CC BY)

Eliminating symmetry and permitting singularity in periodic homogenization
Morris, A. (Principal Investigator)
The Royal Society
18/03/20 → 17/03/24
Project: Research Councils

Cite this

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title = "Solvability for non-smooth Schr{\"o}dinger equations with singular potentials and square integrable data",

keywords = "Boundary value problems, Schr{\"o}dinger equations, Holomorphic functional calculus, Kato square root estimates",

author = "Andrew Morris and Andrew Turner",

year = "2025",

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doi = "10.1016/j.jfa.2024.110680",

language = "English",

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journal = "Journal of Functional Analysis",

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T1 - Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data

AU - Morris, Andrew

AU - Turner, Andrew

PY - 2025/1/1

Y1 - 2025/1/1

KW - Boundary value problems

KW - Schrödinger equations

KW - Holomorphic functional calculus

KW - Kato square root estimates

U2 - 10.1016/j.jfa.2024.110680

DO - 10.1016/j.jfa.2024.110680

M3 - Article

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VL - 288

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

M1 - 110680

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Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data

Keywords

Access to Document

Projects

Eliminating symmetry and permitting singularity in periodic homogenization

Cite this