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日本数学会

小平邦彦賞 受賞講演 英文サマリ
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第1回日本数学会賞小平邦彦賞 受賞講演 英文サマリ

石井 仁司(津田塾大学・研究員/早稲田大学・名誉教授)

講演題目
非線形偏微分方程式の粘性解理論の発展
Developments of the theory of viscosity solutions for nonlinear partial differential equations
英文サマリ
The notion of viscous solutions for partial differential equations has been nearly 40 years since M. G. Crandall and P.-L. Lions introduced it. In this lecture, I will give a brief overview of the history of this theory, and also give two examples of the application of viscous solution theory to the asymptotic problem of differential equations and the feedback to that theory, which I have been interested in recently.