Schauder Estimates for Elliptic and Parabolic Equations*

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The complex Monge–Ampère equation on compact Kähler manifolds (2010, background): “But the Hölder estimates of second order derivatives are studied for uniform elliptic operators when right hand side has weaker regularity [46, 10, 6, 52].”
Option pricing with linear market impact and nonlinear Black–Scholes equations (2018, unknown): “Using Schauder estimates ([25], see also [41] for a very synthetic proof) this gives a uniform control on ∂yyu α and ∂tu α in C s ([0, T − τ ] × [−θ − λB,−1 − λB]).”