Titlebook: Evolutionary Equations; Picard‘s Theorem for Christian Seifert,Sascha Trostorff,Marcus Waurick Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicab

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Vertebrate development: an overview,media, (time-)fractional elasticity, thermodynamic media with delay as well as visco-elastic media. The discussion of these examples will be similar to that of the examples in the previous chapter in the sense that we shall present the equations first, reformulate them suitably and then apply the so

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Evolutionary Dynamics of Malignancyd operators. In this chapter we will present another proof of this fact, which rests on a result which characterises functions in . with support contained in the non-negative reals; the celebrated Theorem of Paley and Wiener. With the help of this theorem, which is interesting in its own right, the

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Evolutionary Ecology of Freshwater Animals a material law . defined on a suitable half-plane satisfying an appropriate positive definiteness condition with . chosen suitably large. Under these conditions, we established that the solution operator, ., is eventually independent of . and causal; that is, if . = 0 on . for some ., then so too i

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Spectral Theory for Neutron Transport,in question and the right-hand side . in order to obtain .. If ., . is the optimal regularity one could hope for. However, one cannot expect . to be as regular since . is simply not closed in general. Hence, in all the cases where . is . closed, the desired regularity property does not hold for .. H

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https://doi.org/10.1007/978-3-319-19917-7al monotone relation . ⊆ . × . in the Hilbert space .. The resulting problem is then no longer an equation, but just an inclusion; that is, we consider problems of the form . where . is given and . is to be determined. This generalisation allows the treatment of certain non-linear problems, since we

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