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arXiv · 1902.07907

Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space

José María Martell·Dorina Mitrea·Irina Mitrea·Marius Mitrea
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Abstract

We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-space ${\mathbb{R}}^n_{+}$ for second-order, homogeneous, constant complex coefficient, elliptic systems $L$, formulated in a manner that emphasizes pointwise nontangential boundary traces of the null-solutions of $L$ in ${\mathbb{R}}^n_{+}$.

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José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea. 2019-02-21. Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space. https://doi.org/10.1090/spmj/1592

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