Weighted a priori estimates for small data

Reinhard Racke
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Reinhard Racke: University of Konstanz, Department of Mathematics and Statistics

Chapter 7 in Lectures on Nonlinear Evolution Equations, 2015, pp 82-88 from Springer

Abstract: Abstract Besides the energy estimate which we proved in Chapter 6 the following a priori estimate is essential for the proof of the global existence theorem (Theorem 1.1). As a new ingredient it takes advantage from the decay estimates that were obtained in Chapter 2 for solutions of the linearized equation.

Date: 2015
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DOI: 10.1007/978-3-319-21873-1_8

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