Titlebook: Evolution Equations in Scales of Banach Spaces; Oliver Caps Textbook 2002 B. G. Teubner GmbH, Stuttgart/Leipzig/Wiesbaden 2002 Application

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Entrepreneurship and Innovation,e of Banach spaces (.). (i.e., . for . ∈ ℕ. is a Banach space with . ↪ . for . ≥ .). Here well-posedness roughly means that for sufficiently smooth initial values . there are unique solutions depending continuously on ..

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International Studies in Entrepreneurship spaces, where .(.) resp., .(., .) are linear operators. Although semilinear evolution equations are special cases of quasilinear ones, we will start this chapter with a discussion of semilinear evolution equations in scales of Banach spaces in section 3.1. We do this for two reasons. On the one han

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https://doi.org/10.1007/978-3-322-80039-8Applications to quasilinear evolution equations; Quasilinear evolution equations; Tools from functiona

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https://doi.org/10.1007/978-0-387-72857-5The purpose of this section is to provide briefly some results on .-semigroup theory that we will need in later sections. We assume the reader to be familiar with elementary functional analysis of bounded, linear operators in Banach spaces.

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Ramo Palalić,Léo-Paul‘Dana,Veland RamadaniThe fifth and last chapter is devoted to applications to quasilinear differential and pseudodifferential evolution equations. In section 5.1 we prove several inequalities that are based on Gagliardo-Moser-Nirenberg estimates, i.e., estimates like

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