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Spectral boundary value problems and elliptic equations on singular manifoldsSchulze, Bert-Wolfgang, Nazaikinskii, Vladimir, Sternin, Boris, Shatalov, Victor January 1997 (has links)
For elliptic operators on manifolds with boundary, we define spectral boundary value problems, which generalize the Atiyah-Patodi-Singer problem to the case of nonhomogeneous boundary conditions, operators of arbitrary order, and nonself-adjoint conormal symbols. The Fredholm property is proved and equivalence with certain elliptic equations on manifolds with conical singularities is established.
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