A non-characteristic hypersurface satisfies p(x,dϕ(x))=0. This lets the equation solve for the highest derivative normal to the hypersurface.
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- Characteristic hypersurface
- Principal symbol of a partial differential equation
- Quasilinear partial differential equation
- Partial differential equation
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- Cauchy-Kovalevskaya theorem
- General-order Cauchy-Kovalevskaya theorem
- Holmgren uniqueness theorem
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