M. A. Taylor

collaborators

2 papers

math.FA2026

A Classification of Order Convergence via a Transfinite Fatou Hierarchy

Antonio AvilÃ©s, Christian Rosendal, Mitchell A. Taylor +1

We investigate the descriptive complexity of order convergence in separable Banach lattices. While uniform convergence is Borel and $I ¨ $ -order convergence is known to be ${\bf Î}^…

math.AP2025

Global well-posedness for the generalized derivative nonlinear SchrÃ¶dinger equation

Ben Pineau, Mitchell A. Taylor

We study the well-posedness of the generalized derivative nonlinear SchrÃ¶dinger equation (gDNLS) $i u_{t} + u_{xx} = i ∣ u ∣^{2 I ¨ } u_{x},$ for small powers $I ¨ $ . We analyze this equation at…