Abstract
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.
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© 1998 Springer Science+Business Media New York
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Cooper, J. (1998). Equilibrium. In: Introduction to Partial Differential Equations with MATLAB. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1754-1_9
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DOI: https://doi.org/10.1007/978-1-4612-1754-1_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7266-3
Online ISBN: 978-1-4612-1754-1
eBook Packages: Springer Book Archive