Poisson’s equation Δu = f is the simplest among the elliptic equations, according to the classification in Sect. 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 Chap. 2, a stationary solution corresponds to a steady state, with no more dependence on time.
CITATION STYLE
Salsa, S. (2015). Variational formulation of Elliptic problems. In UNITEXT - La Matematica per il 3 piu 2 (Vol. 86, pp. 503–548). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-15093-2_8
Mendeley helps you to discover research relevant for your work.