Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential


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Authors

  • Massimo Lanza de Cristoforis
  • Paolo Luzzini

Keywords:

integral operators on Lipschitz parabolic cylinders, double layer heat potential

Abstract

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.

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Published

2017-03-30

How to Cite

Lanza de Cristoforis, M., & Luzzini, P. (2017). Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential. Eurasian Mathematical Journal, 8(1), 76–118. Retrieved from https://emj.enu.kz/index.php/main/article/view/657

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