TY - JOUR
T1 - INVERSE PROBLEMS FOR REAL PRINCIPAL TYPE OPERATORS
AU - Oksanen, Lauri
AU - Salo, Mikko
AU - Stefanov, Plamen
AU - Uhlmann, Gunther
N1 - Publisher Copyright:
© 2024 by Johns Hopkins University Press.
PY - 2024/2
Y1 - 2024/2
N2 - We consider inverse boundary value problems for general real principal type differential operators. The first results state that the Cauchy data set uniquely determines the scattering relation of the operator and bicharacteristic ray transforms of lower order coefficients. We also give two different boundary determination methods for general operators, and prove global uniqueness results for determining coefficients in nonlinear real principal type equations. The article presents a unified approach for treating inverse boundary problems for transport and wave equations, and highlights the role of propagation of singularities in the solution of related inverse problems.
AB - We consider inverse boundary value problems for general real principal type differential operators. The first results state that the Cauchy data set uniquely determines the scattering relation of the operator and bicharacteristic ray transforms of lower order coefficients. We also give two different boundary determination methods for general operators, and prove global uniqueness results for determining coefficients in nonlinear real principal type equations. The article presents a unified approach for treating inverse boundary problems for transport and wave equations, and highlights the role of propagation of singularities in the solution of related inverse problems.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001198863600002
UR - https://openalex.org/W4391001664
UR - https://www.scopus.com/pages/publications/85196206757
U2 - 10.1353/ajm.2024.a917541
DO - 10.1353/ajm.2024.a917541
M3 - Journal Article
SN - 0002-9327
VL - 146
SP - 161
EP - 240
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 1
ER -