9-11 July 2018
Ho Chi Minh City University of Science
Asia/Ho_Chi_Minh timezone

Tangential gradient in a sub-gradient diffusion equation

10 Jul 2018, 14:45
30m
Ho Chi Minh City University of Science

Ho Chi Minh City University of Science

227 Nguyễn Văn Cừ, Phường 4, T.P. Hồ Chí Minh

Speaker

Dr Thi Nguyet Nga TA (University of science, VNU-HCMUS)

Description

We study stationary equation governed by the operator $ -\nabla \cdot A(x, \nabla u) = \mu$ in the case where $A(x, \xi)$ is a maximal monotone graph and $\mu$ is a Radon measure. Our main interest concerns the typical situation where $A(x, .)$ is defined only in a bounded region of $\mathbf{R}^n$; so that $A(x, .)$ does not satisfies the standard polynomial growth control condition. The natural energy space in this case is the space of Lipschitz continuous function and the flux is a vector valued measure. We using tangential gradient with respect to a Radon measure to pass through this difficulty.

Primary author

Dr Thi Nguyet Nga TA (University of science, VNU-HCMUS)

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