# Analysis and PDE

- kind: region

Limits, functions and the equations of motion. The hardest questions ask whether the equations physics runs on actually have solutions.

Mathematics Subject Classification: 26, 28, 30, 35, 40, 42, 46, 47, 49.

## Problems

- [Navier–Stokes existence and smoothness](/wiki/Problem:navier-stokes.md) (open)
- [Kadison–Singer problem](/wiki/Problem:kadison-singer.md) (solved)
- [Bieberbach conjecture](/wiki/Problem:bieberbach-conjecture.md) (solved)
- [Invariant subspace problem](/wiki/Problem:invariant-subspace.md) (open)

Part of [Mathematics](/wiki/Continent:mathematics.md).

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