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Realisations of ell...
Realisations of elliptic operators on compact manifolds with boundary
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- Bandara, Lashi (author)
- Brunel University London
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- Goffeng, Magnus (author)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Saratchandran, Hemanth (author)
- University of Adelaide
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(creator_code:org_t)
- Elsevier BV, 2023
- 2023
- English.
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In: Advances in Mathematics. - : Elsevier BV. - 0001-8708. ; 420
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Abstract
Subject headings
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- This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of Bär-Ballmann to first order elliptic operators. The space of possible boundary values of elements in the maximal domain is described as a Hilbert space densely sandwiched between two mixed order Sobolev spaces. The description uses Calderón projectors which, in the first order case, is equivalent to results of Bär-Bandara using spectral projectors of an adapted boundary operator. Boundary conditions that induce Fredholm as well as regular realisations, and those that admit higher order regularity, are characterised. In addition, results concerning spectral theory, homotopy invariance of the Fredholm index, and well-posedness for higher order elliptic boundary value problems are proven.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Boundary regularity
- Calderón projector
- Elliptic differential operator
- Fredholm boundary conditions
Publication and Content Type
- art (subject category)
- ref (subject category)
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