On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends

Mirela Kohr () and Cornel Pintea ()
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Mirela Kohr: Babeş-Bolyai University
Cornel Pintea: Babeş-Bolyai University

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 483-499 from Springer

Abstract: Abstract In this paper we perform several steps towards the layer potential theory for the Brinkman system on manifolds with boundary and cylindrical ends. In addition, we refer to the Dirichlet problem for a Laplace type operator on parallelizable manifolds with cylindrical ends.

Keywords: Boundary value problem; Brinkman operator; Deformation operator; Laplace type operator; Layer potential operators; Manifold with boundary and cylindrical ends; Parallelizable manifold; Pseudodifferential operator; Translation invariant operator in a neighborhood of infinity; 35J25; 42B20; 46E35; 76D; 76M. (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_20

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DOI: 10.1007/978-3-319-06554-0_20

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