14 citations · 44 across the 14 of their papers we have counts for
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math.AP2017★ 7 cited
A grid function formulation of a class of ill-posed parabolic equations
Emanuele Bottazzi
We study a nonstandard formulation of the Neumann initial value problem \begin{equation} \begin{array}{rl} u_t(x,t) = Δϕ(u(x,t)), & x \in Ω\subseteq \mathbb{R}^k, \ t \in \mathbb{R…
math.FA2017★ 14 cited
Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations
Emanuele Bottazzi
We introduce the space of grid functions, a space of generalized functions of nonstandard analysis that provides a coherent generalization both of the space of distributions and of…