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The construction of a function f satisfying \(\Delta f\in L^ 1\) and \(\partial _{ij}f\not\in L^ 1\)

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Publication:1075500
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DOI10.1007/BF01196361zbMath0592.35032OpenAlexW2015927948MaRDI QIDQ1075500

Wolfgang Rother

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196361


zbMATH Keywords

weak solutiondistributional solutionselliptic regularity


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)








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