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Published in:
1998 | OriginalPaper | Chapter
Equilibrium
Author : Jeffery Cooper
Published in: Introduction to Partial Differential Equations with MATLAB
Publisher: Birkhäuser Boston
Included in: Professional Book Archive
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In Chapter 8, we have seen how the Laplace and Poisson equations occur in steady-state heat flow. In this chapter we investigate properties of solutions of these equations and representations of the solutions in terms of integrals. We characterize these solutions as minimizers of certain variational problems, and again arrive at the notion of weak solutions.