Space · region

Analysis and PDE

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 (open)
Kadison–Singer problem (solved)
Bieberbach conjecture (solved)
Invariant subspace problem (open)

Part of Mathematics.

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