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Explore the uniform boundary Harnack principle for non-local operators in this hour-long conference talk by Zhen-Qing Chen presented at ICBS2025. Delve into advanced mathematical concepts related to boundary behavior of solutions to equations involving non-local operators, examining how the Harnack principle extends to boundary settings and maintains uniformity properties. Learn about the theoretical foundations and applications of this principle in the context of non-local analysis, including its implications for understanding the regularity and behavior of solutions near boundaries. Gain insights into the mathematical techniques used to establish uniform estimates and their significance in the broader field of partial differential equations and probability theory.
