We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal Hölder estimates in space-time for those spatial derivatives are also obtained.
CITATION STYLE
Jin, T., & Xiong, J. (2015). Schauder estimates for solutions of linear parabolic integro-differential equations. Discrete and Continuous Dynamical Systems- Series A, 35(12), 5977–5998. https://doi.org/10.3934/dcds.2015.35.5977
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