The construction applies to any singular k . The unique continuation problem can be formulated as follows. Holmgren's theorem requires analytic coefficients of the differential operator. That makes it impractical for many applications. Its proof is based on a certain type of weighted energy estimate which was introduced by Carleman.
Applications often yield operators with time-independent coefficients.
In 1995, D. Tataru proved a sharp uniqueness result for equations with time independent coefficients using a new type of Carleman estimate. Please consult our list of later events before you use the submission form . Please submit information for the calendar as early as possible. We update the online calendar whenever we get information, but generally we only print paper copies on Mondays.