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INVERSE BOUNDARY VALUE PROBLEMS FOR POLYHARMONIC OPERATORS WITH NON-SMOOTH COEFFICIENTS

  • R. M. Brown
  • , L. D. Gauthier

Producción científica: Articlerevisión exhaustiva

7 Citas (Scopus)

Resumen

We consider inverse boundary value problems for polyharmonic operators and in particular, the problem of recovering the coefficients of terms up to order one. The main interest of our result is that it further relaxes the regularity required to establish uniqueness. The proof relies on an averaging technique introduced by Haberman and Tataru for the study of an inverse boundary value problem for a second order operator.

Idioma originalEnglish
Páginas (desde-hasta)943-966
Número de páginas24
PublicaciónInverse Problems and Imaging
Volumen16
N.º4
DOI
EstadoPublished - ago 2022

Nota bibliográfica

Publisher Copyright:
© 2022, American Institute of Mathematical Sciences. All rights reserved.

Financiación

2020 Mathematics Subject Classification. Primary: 35R30; Secondary: 35J40. Key words and phrases. Inverse problem, Polyharmonic operator, Non-smooth coefficients. R.M. Brown is partially supported by a grant from the Simons Foundation (#422756). ∗Corresponding author: L.D. Gauthier.

FinanciadoresNúmero del financiador
Simons Foundation422756

    ASJC Scopus subject areas

    • Analysis
    • Modeling and Simulation
    • Discrete Mathematics and Combinatorics
    • Control and Optimization

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