Abstract:
This paper introduces a new class of pseudodifferential (p.d.) operators acting in spaces of Bessel potentials of section-distributions over a noncompact (in the usual sense) manifold $M$ compactified by a set of points at infinity. Two-sided $L_p$ bounds are given for the factor-norm of a p.d. operator in the subspace of compact operators using the norm of its symbol. Necessary and sufficient conditions are given for the operators to be Noetherian, and well-posed problems are investigated on manifolds of the above structure with noncompact boundary.
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This publication is cited in the following 11 articles:
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Vladimir Rabinovich, “Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials”, Complex Variables and Elliptic Equations, 67:4 (2022), 938
V. Rabinovich, “Two-Dimensional Dirac Operators with Interactions on Unbounded Smooth Curves”, Russ. J. Math. Phys., 28:4 (2021), 524
Vladimir Rabinovich, “Lp
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