An inverse spectral theorem and its relation to the Pompeiu problem. (English) Zbl 0449.35024

Berenstein, Carlos Alberto

J. Anal. Math. 37, 128-144 (1980).

MSC:

35J25	Boundary value problems for second-order elliptic equations
35R30	Inverse problems for PDEs
35N99	Overdetermined problems for partial differential equations and systems of partial differential equations
35P99	Spectral theory and eigenvalue problems for partial differential equations
42B99	Harmonic analysis in several variables

Keywords:

inverse spectral theorem; inverse problems; Pompeiu property; over- determined Neumann problem; Dirichlet problem

References:

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