A maximum modulus theorem for the Oseen problem

作者：Kracmar S; Medkova D^*; Necasova S; Varnhorn W

来源：Annali di Matematica Pura ed Applicata, 2013, 192(6): 1059-1076.

DOI：10.1007/s10231-012-0258-x

• Oseen problem
• Maximum modulus theorem
• Oseen potentials
• Uniqueness
• Non-tangential limit
• Theorem of Liouville type

Classical solutions of the Oseen problem are studied on an exterior domain Omega with Ljapunov boundary in R (3). It is proved a maximum modulus estimate of the following form: If u C-2(Omega)(3) and P epsilon C-1(Omega),-Delta u+2 lambda rho 1u+del. u=0 Omega and if broken vertical bar u vertical bar %26lt;= M on rho Omega , then in Omega. Here the constant c depends only on Omega and lambda.

• 出版日期2013-12