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Determining rough first order perturbations of the polyharmonic operator

Karthik Iyer, University of Washington
Thursday, May 11, 2017 - 3:00pm to 4:00pm
PDL C-401

Abstract: We show that the knowledge of Dirichlet to Neumann map for rough A and q in

(−∆)m + A · D + q for m ≥ 2 for a bounded domain in \$R^n\$, n ≥ 3 determines A and q uniquely.

The unique identifiability is proved using property of products of functions in Sobolev spaces and

constructing complex geometrical optics solutions with sufficient decay of remainder terms.

(Joint work with Y. Assylbekov)

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