Round 4: Tossup 5

This mathematician’s name appears first in a theorem whose analyticity assumption cannot be relaxed to smoothness, by Lewy’s example. Sofya Kovalevskaya generalized this mathematician’s result about local existence and uniqueness of PDE solutions. (-5[1])Problems named for this mathematician can be solved via Picard iteration to a fixed point. Initial value problems are often named for this mathematician, who names the (*) boundary (-5[1])condition that constrains both a function (-5[1])and its derivative, which combines Dirichlet (“deer-ih-CLAY”) and Neumann conditions. This mathematician’s name is first in the pair of equations “du dx equals dv dy” and “du dy equals negative dv (10[1])dx,” which determine if a complex function is differentiable. (10[1])For 10 points, what Frenchman co-names those equations with Riemann and an inequality about inner products with Schwarz? (10[1])■END■ (10[1]0[1])

Back to tossups

Buzzes

Summary