Abstract
By using the local principle, we study the invertibility of model pseudodifferential operators on manifolds whose boundaries may contain points of contact of different cones. We show that the suggested wave factorization concept can also be used in this case. We describe the construction of the solution of simplest elliptic pseudodifferential equations on such manifolds.
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Original Russian Text © V.B. Vasil’ev, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 9, pp. 1123–1135.
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Vasil’ev, V.B. Pseudodifferential equations in cones with conjugation points on the boundary. Diff Equat 51, 1113–1125 (2015). https://doi.org/10.1134/S0012266115090013
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DOI: https://doi.org/10.1134/S0012266115090013