Inverse Boundary Value Problem for Schrödinger Equation in Two Dimensions

SIAM Journal on Mathematical Analysis ◽

10.1137/11083736x ◽

2012 ◽

Vol 44 (3) ◽

pp. 1333-1339 ◽

Author(s):

O. Yu. Imanuvilov ◽

M. Yamamoto

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problem ◽

Schrodinger Equation ◽

Boundary Value ◽

Two Dimensions ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Increasing stability of the inverse boundary value problem for the Schrödinger equation

Inverse Problems and Applications - Contemporary Mathematics ◽

10.1090/conm/615/12268 ◽

2014 ◽

pp. 131-141 ◽

Author(s):

V. Isakov ◽

S. Nagayasu ◽

G. Uhlmann ◽

J.-N. Wang

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problem ◽

Schrodinger Equation ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Inverse boundary value problem for the Schrödinger equation in a cylindrical domain by partial boundary data

Inverse Problems ◽

10.1088/0266-5611/29/4/045002 ◽

2013 ◽

Vol 29 (4) ◽

pp. 045002 ◽

Author(s):

O Yu Imanuvilov ◽

M Yamamoto

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problem ◽

Boundary Data ◽

Schrodinger Equation ◽

Boundary Value ◽

Cylindrical Domain ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

On an inverse boundary value problem in two dimensions

Communications in Partial Differential Equations ◽

10.1080/03605308908820646 ◽

1989 ◽

Vol 14 (8-9) ◽

pp. 1101-1113 ◽

Author(s):

Ziqi Sun

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Two Dimensions ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

An inverse boundary value problem for the schrödinger operator with vector potentials in two dimensions

Communications in Partial Differential Equations ◽

10.1080/03605309308820922 ◽

1993 ◽

Vol 18 (1-2) ◽

pp. 83-124 ◽

Author(s):

Ziqi Sun

Keyword(s):

Boundary Value Problem ◽

Schrödinger Operator ◽

Boundary Value ◽

Two Dimensions ◽

Schrodinger Operator ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Vector Potentials

Download Full-text

A uniqueness theorem for an inverse boundary value problem in two dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00085-9 ◽

2002 ◽

Vol 270 (1) ◽

pp. 291-302 ◽

Author(s):

Hyeonbae Kang

Keyword(s):

Boundary Value Problem ◽

Uniqueness Theorem ◽

Boundary Value ◽

Two Dimensions ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

The design of cavitation-free hydroprofiles based on the solution of a mixed inverse boundary-value problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90029-9 ◽

1994 ◽

Vol 58 (1) ◽

pp. 59-66

Author(s):

N.B. Il'inskii ◽

D.A. Fokin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

A probe method for the inverse boundary value problem of non-stationary heat equations

Inverse Problems ◽

10.1088/0266-5611/23/5/002 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1787-1800 ◽

Author(s):

Yuki Daido ◽

Hyeonbae Kang ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Probe Method ◽

Heat Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Stationary Heat

Download Full-text

Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

Boundary Value Problems ◽

10.1186/s13661-014-0194-3 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Khanlar R Mamedov ◽

F Ayca Cetinkaya

Keyword(s):

Boundary Value Problem ◽

Liouville Operator ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Sturm Liouville

Download Full-text

A numerical solution of an inverse boundary value problem of heat conduction using the Volterra equations of the first kind

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20150307 ◽

2015 ◽

Vol 18 (3) ◽

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Volterra Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity

Inverse Problems & Imaging ◽

10.3934/ipi.2019057 ◽

2019 ◽

Vol 13 (6) ◽

pp. 1309-1325

Author(s):

Yang Yang ◽

◽

Jian Zhai ◽

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Transversely Isotropic ◽

Unique Determination ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text