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An elliptic equation with discontinuous coefficients on the level set and the Bellman equation
Dr. Hayk Mikayelyan (Xi’an Jiaotong-Liverpool University)
2018-01-01 12:13  华东师范大学

Abstract: We prove a partial regularity result for the zero level set of a certain elliptic PDE with discontinuous coefficients at the zero level set. The proof uses some ideas from the geometric measure theory which are being applied in the PDE context. The result is used to show the partial regularity of the phase-transition set of the Bellman equation with two elliptic operators.