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Variational Formulation of Elliptic Problems

  • Sandro Salsa
Part of the Universitext book series (UTX)

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.

Keywords

Euler Equation Bilinear Form Dirichlet Problem Variational Formulation Elliptic Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia 2008

Authors and Affiliations

  • Sandro Salsa
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoItaly

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