Maximum Modulus Principle

作者: Ravi P Agarwal , Kanishka Perera , Sandra Pinelas , Ravi P Agarwal , Kanishka Perera

DOI: 10.1007/978-1-4614-0195-7_20

关键词: Mathematical analysisBounded functionBoundary (topology)Harmonic functionBulk modulusElastic modulusTangent modulusMaximum modulus principleSpecific modulusMathematics

摘要: In this lecture, we shall prove that a function analytic in bounded domain and continuous up to including its boundary attains maximum modulus on the boundary. This result has direct applications harmonic functions.

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