Abstract
It is shown that under appropriate ellipticity assumptions, weak solutions of partial differential equations (PDEs) are smooth. This applies in particular to the Laplace equation for harmonic functions, thereby justifying Dirichlet’s principle introduced in the previous paragraph.
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© 2003 Springer-Verlag Berlin Heidelberg
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Jost, J. (2003). Regularity of Weak Solutions. In: Postmodern Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05306-5_24
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DOI: https://doi.org/10.1007/978-3-662-05306-5_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43873-1
Online ISBN: 978-3-662-05306-5
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