L p –L q -decay estimates for the linear wave equation

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

Chapter 2 in Lectures on Nonlinear Evolution Equations, 2015, pp 15-20 from Springer

Abstract: Abstract For the proof of Theorem 1.1 simple decay properties of solutions to the linear wave equation play an important role (see Chapter 7 ). The decay rates of L q -norms are typically of polynomial order in $$\mathrm{I}\!\mathrm{R}^n$$ depending on the space dimension n and on q.

Date: 2015
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DOI: 10.1007/978-3-319-21873-1_3

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