A partial differential equation is an equation that contains partial derivatives of an unknown function u : Ω → R and that is used to define that unknown function. Here Ω denotes an open subset of Rd with d ≥ 2 (in the case d = 1 one has a so-called ordinary differential equation).
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Partial Differential Equations: Basics and Explicit Representation of Solutions. In: Numerical Treatment of Partial Differential Equations. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71584-9_1
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DOI: https://doi.org/10.1007/978-3-540-71584-9_1
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