We consider BVPs for strongly elliptic systems of order 21 with the boundary conditions of order 1 +n, n>=0. By representing the solution by means of a simple layer potential of order n and by imposing the boundary conditions, we get a singular integral system which is of regular type if the boundary operator satisfies the Lopatinskii condition and which can be solved if suitable compatibility conditions are satisfied. An explicit formula for computing the index of the BVP is given.
On BVPs for strongly elliptic systems with higher order boundary conditions / Lanzara, Flavia. - In: GEORGIAN MATHEMATICAL JOURNAL. - ISSN 1072-947X. - STAMPA. - 14:(2007), pp. 145-167. [10.1515/GMJ.2007.145]
On BVPs for strongly elliptic systems with higher order boundary conditions
LANZARA, Flavia
2007
Abstract
We consider BVPs for strongly elliptic systems of order 21 with the boundary conditions of order 1 +n, n>=0. By representing the solution by means of a simple layer potential of order n and by imposing the boundary conditions, we get a singular integral system which is of regular type if the boundary operator satisfies the Lopatinskii condition and which can be solved if suitable compatibility conditions are satisfied. An explicit formula for computing the index of the BVP is given.| File | Dimensione | Formato | |
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