Local approximation of arbitrary functions by solutions of nonlocal equations
classification
🧮 math.AP
keywords
equationsfunctionlocallynonlocalsolutionsaccountapproximatedapproximation
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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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