English-Swedish translations for cauchy problem

Definition of cauchy problem

• For a given ''m''-order partial differential equation, the problem of finding a solution function $u$ on $\backslash mathbb\{R\}^n$ that satisfies the boundary conditions that, for a smooth manifold $S\backslash subset\backslash mathbb\{R\}^n$, $\backslash textstyle\; u\; =\; f\_0$ and $\backslash textstyle\; \backslash frac\{\backslash partial^k\; u\}\{\backslash partial\; n^k\}\; =\; f\_k$, $\backslash forall\; x\backslash in\; S$, $k\; =\; 1\backslash dots\; m-1$, given specified functions $f\_k$ defined on, and vector $n$ normal to, the manifold

Related words

• Cauchy sequence
• Cauchy distribution
• Cauchy–Schwarz inequality
• Cauchy's integral theorem
• Cauchy's theorem