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PDE system

Definition

$ D,d,n,m,k\in\mathbb N $
$ \alpha $ … sequence of length $n$ of multi-indices
$ F:\mathbb R^D\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $
$ u \in \mathrm{it} $
$u:C^k(\mathbb R^D,\mathbb R^d) $
$ F(x,u(x),u^{(\alpha_1)}(x),u^{(\alpha_2)}(x),\dots,u^{(\alpha_n)}(x))=0 $

Discussion

Parents

Reference

Refinement of

Requirements

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