2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142967We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an $L^2$ bound on the mean curvature are planes and that almost-calibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.26 pages, 1 figure, submittedDifferential GeometryAnalysis of PDEs53C44Translating solutions to Lagrangian mean curvature flowtext