Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies

Boya Liu;

doi:10.3934/ipi.2020036

Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies

Inverse Problems & Imaging ◽

10.3934/ipi.2020036 ◽

2020 ◽

Vol 14 (5) ◽

pp. 783-796

Author(s):

Boya Liu ◽

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Stability Estimates ◽

Inverse Boundary ◽

High Frequencies ◽

Inverse Boundary Value Problem ◽

Partial Data ◽

Biharmonic Operators

Download Full-text

Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.06.015 ◽

2018 ◽

Vol 466 (1) ◽

pp. 642-654

Author(s):

Sombuddha Bhattacharyya ◽

Cătălin I. Cârstea

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Stability Estimate ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Optimal Stability ◽

Partial Data ◽

Periodic Potentials

Download Full-text

Stability estimates for the inverse boundary value problem by partial Cauchy data

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3168 ◽

2014 ◽

Vol 38 (8) ◽

pp. 1568-1581 ◽

Cited By ~ 1

Author(s):

Ru-Yu Lai

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Cauchy Data ◽

Stability Estimates ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Local uniqueness for an inverse boundary value problem with partial data

Proceedings of the American Mathematical Society ◽

10.1090/proc/12991 ◽

2016 ◽

Vol 145 (3) ◽

pp. 1087-1095 ◽

Cited By ~ 12

Author(s):

Bastian Harrach ◽

Marcel Ullrich

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Local Uniqueness ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Partial Data

Download Full-text

Stability estimates for the inverse boundary value problem by partial Cauchy data

Inverse Problems ◽

10.1088/0266-5611/22/5/015 ◽

2006 ◽

Vol 22 (5) ◽

pp. 1787-1796 ◽

Cited By ~ 42

Author(s):

Horst Heck ◽

Jenn-Nan Wang

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Cauchy Data ◽

Stability Estimates ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.05.054 ◽

2015 ◽

Vol 431 (1) ◽

pp. 300-316 ◽

Cited By ~ 3

Author(s):

Anupam Pal Choudhury ◽

Venkateswaran P. Krishnan

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Stability Estimates ◽

Biharmonic Operator ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text

Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates

SIAM Journal on Mathematical Analysis ◽

10.1137/15m1043856 ◽

2016 ◽

Vol 48 (6) ◽

pp. 3962-3983 ◽

Cited By ~ 7

Author(s):

Elena Beretta ◽

Maarten V. de Hoop ◽

Florian Faucher ◽

Otmar Scherzer

Keyword(s):

Boundary Value Problem ◽

Helmholtz Equation ◽

Boundary Value ◽

Stability Estimates ◽

Lipschitz Stability ◽

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 ◽

Cited By ~ 17

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) ◽

Cited By ~ 5

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) ◽

Cited By ~ 1

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Volterra Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

Download Full-text