Regularity properties of solutions to transmission problems

Escauriaza, Luis; Seo, Jin Keun

doi:10.1090/S0002-9947-1993-1149120-8

Regularity properties of solutions to transmission problems
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by Luis Escauriaza and Jin Keun Seo PDF

Trans. Amer. Math. Soc. 338 (1993), 405-430 Request permission

Abstract:

We show that the gradients of solutions to certain elliptic and parabolic transmission problems with internal Lipschitz boundary and constant coefficients at each side of the internal boundary are square integrable along the internal boundary.

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