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Evolution Problems

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Analysis

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Abstract

In this chapter, problems involving time are considered. Those expressed by means of ordinary differential equations are the simplest ones. In contrast to problems involving partial derivatives, they do not require the functions spaces introduced in the preceding chapter. But for parabolic problems and hyperbolic problems, Sobolev spaces are again crucial tools. The notion of a semigroup forms a natural and unifying framework for such problems. Notions of dissipativity and monotonicity again show their usefulness.

Fleet the time carelessly, as they did in the golden world.

W. Shakespeare,As you like it.

I have measured out my life with coffee spoons.

T.S. Eliot.

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Authors and Affiliations

  1. Université Pierre et Marie Curie, Paris, France

    Jean-Paul Penot

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  1. Jean-Paul Penot
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Penot, JP. (2016). Evolution Problems. In: Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-32411-1_10

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