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by Ciro Santilli (@cirosantilli, 37)

Cauchy boundary condition

 ... Mathematics Area of mathematics Calculus Differential equation Boundary condition Neumann boundary condition
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
Sets both a Dirichlet boundary condition and a Neumann boundary condition for a single part of the boundary.
Can be used for hyperbolic partial differential equations.
We understand intuitively that this imposes stricter requirements on solutions, which makes it easier to guarantee uniqueness, but also harder to have existence. TODO intuitively why hyperbolic need this extra level of restriction.

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  1. Neumann boundary condition
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  • Which boundary conditions lead to existence and uniqueness of a second order PDE

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