セミナーの予定

2024年4月25日(木) 16:30-18:00

会場

東北大学 合同A棟8階801室 (対面+Zoom のハイブリッド形式での開催となります)

発表者

Erbol Zhanpeisov 氏 (沖縄科学技術大学院大学)

題目

Liouville-type theorem for fully nonlinear elliptic and parabolic equations with boundary degeneracy

要旨

We study a general class of fully nonlinear boundary-degenerate elliptic or parabolic equations that admit a trivial solution. Although no boundary conditions are posed together with the equations, we show that the operator degeneracy actually generates an implicit boundary condition. Under appropriate assumptions on the degeneracy rate and regularity of the operator, we then prove that there exist no bounded solutions other than the trivial one. Our method is related to the uniqueness arguments for viscosity solutions of state constraint problems for Hamilton-Jacobi equations. This talk is based on joint research with Prof. Qing Liu from OIST.

2024年5月2日 (木)

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