Inverse Problems for Equations of Second Order

Methods for Solving Inverse Problems in Mathematical Physics ◽

10.1201/9781482292985-13 ◽

2000 ◽

pp. 545-596

Keyword(s):

Inverse Problems ◽

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Inverse problems for second order integral and integro-differential operators

Analysis and Mathematical Physics ◽

10.1007/s13324-018-0217-9 ◽

2018 ◽

Vol 9 (1) ◽

pp. 555-564 ◽

Author(s):

Sergey Buterin ◽

Vjacheslav Yurko

Keyword(s):

Inverse Problems ◽

Differential Operators ◽

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Second order asymptotical regularization methods for inverse problems in partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112798 ◽

2020 ◽

Vol 375 ◽

pp. 112798

Author(s):

Ye Zhang ◽

Rongfang Gong

Keyword(s):

Partial Differential Equations ◽

Inverse Problems ◽

Differential Equations ◽

Second Order ◽

Regularization Methods ◽

Partial Differential

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Solvability of the inverse problems for second-order equations

Functional Analysis and Its Applications ◽

10.1007/bf01078476 ◽

1986 ◽

Vol 20 (3) ◽

pp. 236-237

Author(s):

A. Kh. Amirov

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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Direct and inverse problems for second-order integro-differential operator equations in an unbounded time interval

Inverse Problems: Theory and Applications - Contemporary Mathematics ◽

10.1090/conm/333/05961 ◽

2003 ◽

pp. 163-175

Author(s):

Alfredo Lorenzi ◽

Eva Paparoni

Keyword(s):

Differential Operator ◽

Inverse Problems ◽

Second Order ◽

Time Interval ◽

Operator Equations ◽

Direct And Inverse Problems

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Chapter 6. Inverse Problems For Parabolic And Elliptical Type Second-Order Equations

Inverse Problems of Mathematical Physics ◽

10.1515/9783110926019-007 ◽

1986 ◽

pp. 208-220

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3809-x ◽

2018 ◽

Vol 231 (2) ◽

pp. 111-123

Author(s):

Yu. E. Anikonov ◽

N. B. Ayupova

Keyword(s):

Inverse Problems ◽

Second Order ◽

Second Order Equations

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On Some Inverse Problems of the Calculus of Variations for Second Order Differential Equations with Deviating Arguments and Partial Derivatives

Springer INdAM Series - New Prospects in Direct, Inverse and Control Problems for Evolution Equations ◽

10.1007/978-3-319-11406-4_13 ◽

2014 ◽

pp. 253-270

Author(s):

Galina Kurina

Keyword(s):

Inverse Problems ◽

Differential Equations ◽

Calculus Of Variations ◽

Second Order ◽

Deviating Arguments ◽

Partial Derivatives ◽

Second Order Differential Equations

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Second-Order Shape Optimization for Geometric Inverse Problems in Vision

2014 IEEE Conference on Computer Vision and Pattern Recognition ◽

10.1109/cvpr.2014.492 ◽

2014 ◽

Author(s):

Jonathan Balzer ◽

Stefano Soatto

Keyword(s):

Inverse Problems ◽

Shape Optimization ◽

Second Order ◽

Geometric Inverse Problems

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A collage-based approach to solving inverse problems for second-order nonlinear parabolic PDEs

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.04.046 ◽

2013 ◽

Vol 406 (1) ◽

pp. 120-133 ◽

Author(s):

K.M. Levere ◽

H. Kunze ◽

D. La Torre

Keyword(s):

Inverse Problems ◽

Second Order ◽

Parabolic Pdes ◽

Nonlinear Parabolic Pdes ◽

Nonlinear Parabolic

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Inverse Problems for Sturm-Liouville Differential Operators on Closed Sets

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.50.2019.3343 ◽

2019 ◽

Vol 50 (3) ◽

pp. 199-206 ◽

Author(s):

V. Yurko

Keyword(s):

Inverse Problems ◽

Time Scales ◽

Differential Operators ◽

Spectral Characteristics ◽

Second Order ◽

Constructive Algorithms ◽

Closed Sets ◽

Sturm Liouville

Second-order differential operators on closed sets (time scales) are considered. Properties of their spectral characteristics are obtained and inverse problems are studied, which consists in recovering the operators from their spectral characteristics. We establish the uniqueness and develop constructive algorithms for the solution of the inverse problems.

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