### Abstract

We show that if u is a weak solution to div(AVu) = 0 on an open set Ω containing a Lipschitz domain D, where Then, the nontangential maximal function of the gradient of u lies in L2(dD).

Original language | English (US) |
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Pages (from-to) | 1069-1076 |

Number of pages | 8 |

Journal | Proceedings of the American Mathematical Society |

Volume | 115 |

Issue number | 4 |

DOIs | |

State | Published - Aug 1992 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Escauriaza, L., Fabes, E. B., & Verchota, G. (1992). On a regularity theorem for weak solutions to transmission problems with internallipschitz boundaries.

*Proceedings of the American Mathematical Society*,*115*(4), 1069-1076. https://doi.org/10.1090/S0002-9939-1992-1092919-1