Have physics-informed neural networks been shown to solve partial differential equations whose solutions are non-separable functions? What suitable setups work?: deep/shallow NNs, what type of ...

ABSTRACT: In this paper, we present a local Lipchitz condition for the local existence of solution to a class of stochastic differential equations with finite delay in a real separable Hilbert space ...

Abstract: The Jeans equations relate the second-order velocity moments to the density and potential of a stellar system. For general three-dimensional stellar systems, there are three equations and ...

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