A Li-Yau gradient estimate, a Harnack inequality, and an a priori bound are established for positive solutions of the Finslerian logarithmic Schrödinger equation under lower curvature bounds.
and Patrizio, G., Finsler Metrics: A Global Approach with Applications to Geo- metric Function Theory, Springer, Berlin, 1994
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A Li-Yau gradient estimate for the Finslerian logarithmic Schr\"{o}dinger equation
A Li-Yau gradient estimate, a Harnack inequality, and an a priori bound are established for positive solutions of the Finslerian logarithmic Schrödinger equation under lower curvature bounds.