Regularity estimates for parabolic integro- differential equations and applications

نویسنده

  • Luis Silvestre
چکیده

We review some regularity results for integro-differential equations, focusing on Hölder estimates for equations with rough kernels and their applications. We show that if we take advantage of the integral form of the equation, we can obtain simpler proofs than for second order equations. For the equations considered here, the Harnack inequality may not hold. Mathematics Subject Classification (2010). Primary 45E99; Secondary 35K99.

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تاریخ انتشار 2014