Optimal Schauder Estimates for Parabolic Problems with Data Measurable with Respect to Time
Luca Lorenzi · SIAM Journal on Mathematical Analysis · 2000
We prove some optimal Schauder estimates for the solution to second-order parabolic equations with coefficients which are measurable with respect to time and Hölder continuous with respect to space variables in the strip [0,T] \times \mathbb{R}^{n}$. We allow also polynomially or exponentially weighted Hölder norms.