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Multidimensional inverse Cauchy problems for evolution equations

  • L.N. Gumilyov Eurasian National University
  • Nazarbayev University
  • Waseda University

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equations. We also extend our techniques to the general inverse Cauchy problems for evolution equations.

Original languageEnglish
Pages (from-to)1582-1590
Number of pages9
JournalInverse Problems in Science and Engineering
Volume28
Issue number11
DOIs
Publication statusAccepted/In press - 2020

Funding

The authors were supported by the Nazarbayev University program 091019CRP2120. No new data was collected or generated during the course of research.

Keywords

  • evolution equation
  • Inverse problem
  • Poisson integral
  • polyharmonic heat equation
  • strictly hyperbolic equation

ASJC Scopus subject areas

  • General Engineering
  • Computer Science Applications
  • Applied Mathematics

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