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2 results for Aronszajn

Extends unique continuation theorem to manifolds with boundary, proving zero set codimension.

problem Proving unique continuation for exterior differential forms on manifolds with boundary.
method Extends Aronszajn-Krzywicki-Szarski theorem to manifolds with boundary, assuming suitable boundary conditions.
result Hausdorff dimension of zero sets of harmonic forms and eigenfields has codimension at least 2.