The final value problem for anomalous diffusion equations with weak nonlinearities
Người báo cáo: TS Nguyễn Thị Vân Anh-Đại học Sư phạm Hà Nội, postdoc theo học bổng của chương trình Simons tại viện Toán

Thời gian: 9h30 ngày thứ 3, 19/04/2022

Link: https://meet.google.com/puo-ghwc-uux?pli=1&authuser=1

Tóm tắt: This talk deals with a inverse problem of the anomalous diffusion equations from final data observations where the nonlinearity probably takes values in fractional Sobolev spaces.  The existence and uniqueness results are proved by establishing some estimates for resolvent operators and using the embedding theorem for Hilbert scales and fractional Sobolev spaces. Regularity results and behavior of solutions also are studied.   The nonlinearities consist of functions with gradient terms. The multiterm fractional differential equations, ultraslow diffusion equations and tempered fractional order differential equations are investigated as special cases.


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