Abstract
We study a generalization of the Green-matrix for strongly elliptic systems of second order to elliptic systems which satisfy the weaker Legendre-Hadamard condition. The main result is that even in this more general case a Green-matrix G exists, moreover we have the standard local estimates for G and its first partial derivatives.
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Fuchs, M. The Green-matrix for elliptic systems which satisfy the Legendre-Hadamard condition. Manuscripta Math 46, 97–115 (1984). https://doi.org/10.1007/BF01185197
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DOI: https://doi.org/10.1007/BF01185197