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Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.

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Cauchy–Kowalevski Theorem for PDEs

I hope to extend the PDEs across the boundary using Cauchy–Kowalevski Theorem. Given a real analytic manifold $M$ with boundary $\partial M$, the solution $u$ to the PDE $$\triangle u+b(x)\nabla u+c …
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