Variational Formulation of Elliptic Problems

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


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.


Euler Equation Bilinear Form Dirichlet Problem Variational Formulation Elliptic Problem 


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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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