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math.AP2013
An extension of Hörmander's hypoellipticity theorem
David P. Herzog, Nathan Totz
Motivated by applications to stochastic differential equations, an extension of Hörmander's hypoellipticity theorem is proved for second-order degenerate elliptic operators with no…
math.AP2013★ 1 cited
A Justification of the Modulation Approximation to the 3D Full Water Wave Problem
Nathan Totz
We consider small amplitude wave packet-like solutions to the 3D inviscid incompressible irrotational infinite depth water wave problem neglecting surface tension. Formal multiscal…