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Conditional stability for an inverse source problem and an application to the estimation of air dose rate of radioactive substances by drone data

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Publication:2099368
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DOI10.3934/mine.2020002zbMath1502.35202arXiv1904.11551OpenAlexW2981692669MaRDI QIDQ2099368

Yanyan Li

Publication date: 23 November 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11551

zbMATH Keywords

conditional stabilityinverse source problemnumerical reconstructionair dose estimationdrone dataline unique continuation


Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)


Related Items

Inverse problems in imaging and engineering science, Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations



Cites Work

  • Unnamed Item
  • Unique continuation on a line for harmonic functions
  • Stability in line unique continuation of harmonic functions: general dimensions
  • Local estimation for an integral equation of first kind with analytic kernel
  • One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
  • Inverse problems for partial differential equations
  • Conditional stabilizing estimation for an integral equation of first kind with analytic kernel
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