It is shown that if $P$ is a linear partial differential operator with analytic coefficients, and if $M$ is an analytic manifold of codimension 3 which is partially ...

Transactions of the American Mathematical Society, Vol. 358, No. 8 (Aug., 2006), pp. 3363-3383 (21 pages) We investigate microlocal properties of partial differential operators with generalized ...

Pseudodifferential operators serve as a pivotal extension of classical differential operators by incorporating non-local features through their symbols. These operators are fundamental in the analysis ...

Inverse problems in differential operators and spectral theory constitute a vibrant research area where one seeks to determine unknown parameters within differential equations from observed spectral ...