Abstract
We study boundary value problems with dilations and contractions on manifolds with boundary. We construct a C*- algebra of such problems generated by zero-order operators. We compute the trajectory symbols of elements of this algebra, obtain an analog of the Shapiro–Lopatinskii condition for such problems, and prove the corresponding finiteness theorem.
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Original Russian Text © A.Yu. Savin, B.Yu. Sternin, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 10, pp. 1383–1392.
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Savin, A.Y., Sternin, B.Y. Elliptic dilation–contraction problems on manifolds with boundary. C*-theory. Diff Equat 52, 1331–1340 (2016). https://doi.org/10.1134/S0012266116100098
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DOI: https://doi.org/10.1134/S0012266116100098