Time: 8:30-10:00, December 24 2024

Venue: E4-233, Yungu Campus

Speaker: Hideo Kozono, Waseda University

Title: Asymptotic behavior of solutions to elliptic equations in 2D exterior domains

Abstract: The asymptotic behavior of solutions to the second order elliptic equations in exterior domains is studied. In particular, under the assumption that the solution belongs to the Lorentz space or the weak Lebesgue space with certain conditions on the coefficients, we give natural and an almost sharp pointwise estimate of the solution at spacial infinity. The proof is based on the argument by Korobkov-Pileckas-Russo in which the decay property of the solution to the vorticity equation of the two-dimensional Navier-Stokes equations was studied. This is based on the joint work with Yutaka Terasawa(Nagoya Univ.) and Yuta Wakasugi(Hiroshima Univ.)

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