| Abstract: |
| In order to establish qualitatively sharp regularity estimates for solutions of discrete equilibration problems employed to model crystal defects, one needs to first establish existence of a corresponding lattice Green`s function and prove its decay properties. In this talk I will first briefly discuss how to do it in a spatially homogeneous setup, explain why it is non-trivial in a non-homogeneous setup of a crack defect and present a way of tackling this problem. |
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