A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients
Lucio Boccardo
Università di Roma La Sapienza, Italy
![A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rlm-volume-26-issue-2.png&w=3840&q=90)
Abstract
This note is devoted to the Calderon-Zygmund theory for linear differential operators with discontinuous coefficients. It is known that the theory holds if the datum , in (1.1) belongs to the Lebesgue space , with (see [6]). In this paper we prove that the theory fails if .
Cite this article
Lucio Boccardo, A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 2, pp. 215–221
DOI 10.4171/RLM/703