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pde_system [2014/03/21 11:11]
127.0.0.1 external edit
pde_system [2015/03/27 20:14] (current)
nikolaj
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 | @#55CCEE: context ​    | @#55CCEE: $ \alpha $ ... sequence of length $n$ of multi-indices ​ | | @#55CCEE: context ​    | @#55CCEE: $ \alpha $ ... sequence of length $n$ of multi-indices ​ |
 | @#55CCEE: context ​    | @#55CCEE: $ F:\mathbb R^D\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $ | | @#55CCEE: context ​    | @#55CCEE: $ F:\mathbb R^D\times\mathbb R^{d\ \cdot\ (1+n)}\to \mathbb R^m $ |
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 | @#FFBB00: definiendum | @#FFBB00: $ u \in \mathrm{it} $ | | @#FFBB00: definiendum | @#FFBB00: $ u \in \mathrm{it} $ |
- 
 | @#55EE55: postulate ​  | @#55EE55: $u:​C^k(\mathbb R^D,\mathbb R^d) $  | | @#55EE55: postulate ​  | @#55EE55: $u:​C^k(\mathbb R^D,\mathbb R^d) $  |
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 | @#55EE55: postulate ​  | @#55EE55: $ F(x,​u(x),​u^{(\alpha_1)}(x),​u^{(\alpha_2)}(x),​\dots,​u^{(\alpha_n)}(x))=0 $ | | @#55EE55: postulate ​  | @#55EE55: $ F(x,​u(x),​u^{(\alpha_1)}(x),​u^{(\alpha_2)}(x),​\dots,​u^{(\alpha_n)}(x))=0 $ |
  
-==== Discussion ==== +-----
-==== Parents ====+
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Partial_differential_equation|Partial differential equation]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Partial_differential_equation|Partial differential equation]]
 +
 +-----
 === Refinement of === === Refinement of ===
 [[Monoid kernel]] [[Monoid kernel]]
 === Context === === Context ===
 [[Fréchet derivative]],​ [[Multi-index power]] [[Fréchet derivative]],​ [[Multi-index power]]
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