Uniqueness for the inverse boundary value problem with singular potentials in 2D

Emilia Blåsten; Leo Tzou; Jenn-Nan Wang

doi:10.1007/s00209-019-02436-0

Uniqueness for the inverse boundary value problem with singular potentials in 2D

Emilia Blåsten, Leo Tzou, Jenn-Nan Wang^*

^*Corresponding author for this work

Not published at Aalto University

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

Abstract

In this paper we consider the inverse boundary value problem for the Schrodinger equation with potential in Lp. We show that the potential is uniquely determined by the boundary measurements.

Original language	English
Pages (from-to)	1521-1535
Number of pages	15
Journal	MATHEMATISCHE ZEITSCHRIFT
Volume	295
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-019-02436-0
Publication status	Published - Aug 2020
MoE publication type	A1 Journal article-refereed

Keywords

CONDUCTIVITY PROBLEM
CAUCHY DATA

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10.1007/s00209-019-02436-0

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title = "Uniqueness for the inverse boundary value problem with singular potentials in 2D",

abstract = "In this paper we consider the inverse boundary value problem for the Schrodinger equation with potential in Lp. We show that the potential is uniquely determined by the boundary measurements.",

keywords = "CONDUCTIVITY PROBLEM, CAUCHY DATA",

author = "Emilia Bl{\aa}sten and Leo Tzou and Jenn-Nan Wang",

year = "2020",

month = aug,

doi = "10.1007/s00209-019-02436-0",

language = "English",

volume = "295",

pages = "1521--1535",

journal = "MATHEMATISCHE ZEITSCHRIFT",

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T1 - Uniqueness for the inverse boundary value problem with singular potentials in 2D

AU - Blåsten, Emilia

AU - Tzou, Leo

AU - Wang, Jenn-Nan

PY - 2020/8

Y1 - 2020/8

N2 - In this paper we consider the inverse boundary value problem for the Schrodinger equation with potential in Lp. We show that the potential is uniquely determined by the boundary measurements.

AB - In this paper we consider the inverse boundary value problem for the Schrodinger equation with potential in Lp. We show that the potential is uniquely determined by the boundary measurements.

KW - CONDUCTIVITY PROBLEM

KW - CAUCHY DATA

U2 - 10.1007/s00209-019-02436-0

DO - 10.1007/s00209-019-02436-0

M3 - Article

SN - 0025-5874

VL - 295

SP - 1521

EP - 1535

JO - MATHEMATISCHE ZEITSCHRIFT

JF - MATHEMATISCHE ZEITSCHRIFT

IS - 3-4

ER -

Uniqueness for the inverse boundary value problem with singular potentials in 2D

Abstract

Keywords

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