Abstract
Let E be a bounded domain in \(\mathbb{R}^{N}\) with boundary \(\partial E\). If \(f \in L^{q}(E)\) for some \(1 \leq q \leq \infty\), denote by \(||f||_{q,E}\) the Lq(E)-norm of f over E. We also write \(||f||_{q}\) whenever the specification of the domain E is unambiguous from the context.
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© 2012 Springer Science+Business Media, LLC
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DiBenedetto, E., Gianazza, U., Vespri, V. (2012). Preliminaries. In: Harnack's Inequality for Degenerate and Singular Parabolic Equations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1584-8_2
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DOI: https://doi.org/10.1007/978-1-4614-1584-8_2
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