University of Jyväskylä | JYX Digital Repository

  • English  | Give feedback |
    • suomi
    • English
 
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  • JYX
  • Artikkelit
  • Matemaattis-luonnontieteellinen tiedekunta
  • View Item
JYX > Artikkelit > Matemaattis-luonnontieteellinen tiedekunta > View Item

Tensor tomography: Progress and challenges

ThumbnailFinal Draft
View/Open
420.7 Kb

Downloads:  
Show download detailsHide download details  
Paternain, G. P., Salo, M., & Uhlmann, G. (2014). Tensor tomography: Progress and challenges. Chinese Annals of Mathematics, Series B, 35(3), 399-428. https://doi.org/10.1007/s11401-014-0834-z
Published in
Chinese Annals of Mathematics, Series B
Authors
Paternain, Gabriel P. |
Salo, Mikko |
Uhlmann, Gunther
Date
2014
Discipline
MatematiikkaMathematics
Copyright
© The Editorial Office of CAM and Springer-Verlag Berlin Heidelberg 2014.

 
We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.
Publisher
Springer
ISSN Search the Publication Forum
0252-9599
Keywords
integral geometry tensor tomography inversio-ongelmat
DOI
https://doi.org/10.1007/s11401-014-0834-z
URI

http://urn.fi/URN:NBN:fi:jyu-201501091065

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/23703893

Metadata
Show full item record
Collections
  • Matemaattis-luonnontieteellinen tiedekunta [4582]

Related items

Showing items with similar title or keywords.

  • Tensor tomography in periodic slabs 

    Ilmavirta, Joonas; Uhlmann, Gunther (Academic Press, 2018)
    The X-ray transform on the periodic slab [0, 1]×Tn, n ≥ 0, has a non-trivial kernel due to the symmetry of the manifold and presence of trapped geodesics. For tensor fields gauge freedom increases the kernel further, and ...
  • Partial Data Problems and Unique Continuation in Scalar and Vector Field Tomography 

    Ilmavirta, Joonas; Mönkkönen, Keijo (Birkhäuser, 2022)
    We prove that if P(D) is some constant coefficient partial differential operator and f is a scalar field such that P(D)f vanishes in a given open set, then the integrals of f over all lines intersecting that open set ...
  • X-ray Tomography of One-forms with Partial Data 

    Ilmavirta, Joonas; Mönkkönen, Keijo (Society for Industrial & Applied Mathematics (SIAM), 2021)
    If the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a unique continuation result for the ...
  • The Light Ray Transform in Stationary and Static Lorentzian Geometries 

    Feizmohammadi, Ali; Ilmavirta, Joonas; Oksanen, Lauri (Springer, 2021)
    Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on functions and tensors, up to the natural ...
  • Calderón's problem for p-laplace type equations 

    Brander, Tommi (University of Jyväskylä, 2016)
    We investigate a generalization of Calderón’s problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation div σ ...
  • Browse materials
  • Browse materials
  • Articles
  • Conferences and seminars
  • Electronic books
  • Historical maps
  • Journals
  • Tunes and musical notes
  • Photographs
  • Presentations and posters
  • Publication series
  • Research reports
  • Research data
  • Study materials
  • Theses

Browse

All of JYXCollection listBy Issue DateAuthorsSubjectsPublished inDepartmentDiscipline

My Account

Login

Statistics

View Usage Statistics
  • How to publish in JYX?
  • Self-archiving
  • Publish Your Thesis Online
  • Publishing Your Dissertation
  • Publication services

Open Science at the JYU
 
Data Protection Description

Accessibility Statement

Unless otherwise specified, publicly available JYX metadata (excluding abstracts) may be freely reused under the CC0 waiver.
Open Science Centre