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Maximum Principles

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Book cover Introduction to Partial Differential Equations

Part of the book series: Universitext ((UTX))

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Abstract

In this chapter we will consider another approach to issues of uniqueness and stability, based on maximum values. This method applies generally to elliptic equations, which describe equilibrium states, and to parabolic equations, which are generally used to model diffusion.

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Correspondence to David Borthwick .

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Open Access This chapter is distributed under the terms of the Creative Commons Attribution Noncommercial License, which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Borthwick, D. (2016). Maximum Principles. In: Introduction to Partial Differential Equations. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-48936-0_9

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