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Local approximation of arbitrary functions by solutions of nonlocal equations
Published 14 Sep 2016 in math.AP | (1609.04438v4)
Abstract: We show that any function can be locally approximated by solutions of prescribed linear equations of nonlocal type. In particular, we show that every function is locally $s$-caloric, up to a small error. The case of non-elliptic and non-parabolic operators is taken into account as well.
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