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 analysis 、 Bounded function 、 Boundary (topology) 、 Harmonic function 、 Bulk modulus 、 Elastic modulus 、 Tangent modulus 、 Maximum modulus principle 、 Specific modulus 、 Mathematics
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.