The one-dimensional heat equation in the Alexiewicz norm

DOI10.1515/APAM-2014-0038OpenAlexW2964054099MaRDI QIDQ2340111

Erik O.Talvila

Publication date: 16 April 2015

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04251

zbMATH Keywords

heat equationconvolutionpartial differential equationBanach spaceSchwartz distributionHenstock-Kurzweil integralcontinuous primitive integralAlexiewicz normgeneralised function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Heat equation (35K05) Measures and integration on abstract linear spaces (46G12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Denjoy and Perron integrals, other special integrals (26A39)

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The continuous primitive integral in the plane

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