Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges

Methods involving semicontinuity and convergence; relaxation (49J45) Diffusion processes (60J60) Functional inequalities, including subadditivity, convexity, etc. (39B62) Systems of nonlinear higher-order PDEs (35G50) Optimal transportation (49Q22)

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