Geodesic
Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential
Eurasian mathematical journal, Tome 8 (2017) no. 1, pp. 76-118

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We introduce a class of norms for time dependent kernels on the boundary of Lipschitz parabolic cylinders and we prove theorems of joint continuity of integral operators upon variation of both the kernel and the density function. As an application, we prove that the integral operator associated to the double layer heat potential has a regularizing property on the boundary. 
@article{EMJ_2017_8_1_a7,
     author = {M. Lanza de Cristoforis and P. Luzzini},
     title = {Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential},
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     pages = {76--118},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_1_a7/}
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M. Lanza de Cristoforis; P. Luzzini. Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential. Eurasian mathematical journal, Tome 8 (2017) no. 1, pp. 76-118. http://geodesic.mathdoc.fr/item/EMJ_2017_8_1_a7/