Applications of Microlocal Analysis in Inverse Problems

Mikko Salo

doi:10.3390/math8071184

Applications of Microlocal Analysis in Inverse Problems

Mathematics ◽

10.3390/math8071184 ◽

2020 ◽

Vol 8 (7) ◽

pp. 1184

Author(s):

Mikko Salo

Keyword(s):

Inverse Problems ◽

Microlocal Analysis ◽

Postgraduate Level ◽

Lecture Notes

This note reviews certain classical applications of microlocal analysis in inverse problems. The text is based on lecture notes for a postgraduate level minicourse on applications of microlocal analysis in inverse problems, given in Helsinki and Shanghai in June 2019.

Inverse problems and microlocal analysis

Journées Équations aux dérivées partielles ◽

10.5802/jedp.411 ◽

1991 ◽

pp. 1-7

Author(s):

Anders Melin

Keyword(s):

Inverse Problems ◽

Microlocal Analysis

Sabatier, P. C. (ed.), Applied Inverse Problems. Lectures Presented at the RCP 264 “Etude interdisciplinaire des problèmes inverses”. Lecture Notes in Physics 85. Berlin-Heidelberg-New York, Springer-Verlag 1978. V, 425 S., 37 Abb., 13 Tab., DM 39,–. US $ 21,50. ISBN 3-540-09094-0

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19800600216 ◽

1980 ◽

Vol 60 (2) ◽

pp. 121-121

Author(s):

G. Anger

Keyword(s):

New York ◽

Inverse Problems ◽

Lecture Notes

Applied inverse problems. Lecture Notes in Physics, Vol. 85

Physics of The Earth and Planetary Interiors ◽

10.1016/0031-9201(80)90093-x ◽

1980 ◽

Vol 23 (1) ◽

pp. 80

Author(s):

D. Summers

Keyword(s):

Inverse Problems ◽

Lecture Notes

"Coupled inverse problems in groundwater modeling: 2. Identifiability and experimental design

Water Resources Research ◽

10.1029/90wr00959 ◽

1990 ◽

Vol 26 (10) ◽

pp. 2527-2540 ◽

Cited By ~ 7

Author(s):

Ne-Zheng Sun

Keyword(s):

Experimental Design ◽

Inverse Problems ◽

Groundwater Modeling

MOSBRUGGER, V., The Tree Habit in Land Plants. (Lecture Notes in Earth Sciences; 28). 161 S., 30 Abb., 10 Tab. Springer Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1990. ISBN 3-540-52374-X; 0-387-52374-X. Preis brosch. DM 40,–

Feddes Repertorium ◽

10.1002/fedr.4921030724 ◽

1992 ◽

Vol 103 (7-8) ◽

pp. 620-620

Author(s):

G. Natho

Keyword(s):

Earth Sciences ◽

New York ◽

Hong Kong ◽

Land Plants ◽

Lecture Notes

NEWTON-KANTOROVICH ITERATION METHOD FOR SOLVING INVERSE PROBLEMS OF NONLINEAR PARABOLIC SYSTEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30142-5 ◽

1994 ◽

Vol 14 (3) ◽

pp. 283-296

Author(s):

Wenhuan Yu

Keyword(s):

Inverse Problems ◽

Iteration Method ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

Decomposition and regularization of ill-conditioned inverse problems solution for measurement information processing. Pt. 3. Experimental verification of the theory

Metrologiya ◽

10.32446/0132-4713.2019-1-3-38 ◽

2019 ◽

pp. 3-38

Author(s):

Yu. V. Surnin ◽

Keyword(s):

Information Processing ◽

Inverse Problems ◽

Experimental Verification ◽

Measurement Information

EXPLICIT FAST AND STABLE METHOD FOR SOLUTION OF SOME COEFFICIENT INVERSE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-3172-2013-1-2-92-101 ◽

2013 ◽

Vol 1 (1) ◽

pp. 92-101

Author(s):

Alexandre Grebennikov ◽

Keyword(s):

Partial Differential Equations ◽

Inverse Problems ◽

Differential Equations ◽

Stable Method ◽

Partial Differential ◽

Coefficient Inverse Problems

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-3172-2017-5-2-14-35 ◽

2017 ◽

Vol 5 (2) ◽

pp. 14-35

Author(s):

S.I. Kabanikhin ◽

◽

O.I. Krivorotko ◽

D.V. Ermolenko ◽

V.N. Kashtanova ◽

...

Keyword(s):

Inverse Problems

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-6172-2017-5-2-14-35 ◽

2017 ◽

Vol 5 (2) ◽

pp. 14-35 ◽

Cited By ~ 1

Author(s):

S.I. Kabanikhin ◽

O.I. Krivorotko ◽

D.V. Ermolenko ◽

V.N. Kashtanova ◽

V.A. Latyshenko

Keyword(s):

Inverse Problems