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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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Applications to quasilinear evolution equations,The 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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Quasilinear Evolution Equations, 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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