Abstract
Poisson’s equation Δu = f is the simplest among the elliptic equations, according to the classification in Section 5.5, at least in dimension two. This type of equations plays an important role in the modelling of a large variety of phenomena, often of stationary nature. Typically, in drift, diffusion and reaction models, like those considered in Chapter 2, a stationary condition corresponds to a steady state, with no more dependence on time.
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© 2008 Springer-Verlag Italia
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Salsa, S. (2008). Variational Formulation of Elliptic Problems. In: Partial Differential Equations in Action. Universitext. Springer, Milano. https://doi.org/10.1007/978-88-470-0752-9_8
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DOI: https://doi.org/10.1007/978-88-470-0752-9_8
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-0751-2
Online ISBN: 978-88-470-0752-9
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