Abstract
We consider the initial value problem
where f (x) = f (x + 2π) is a smooth 2π-periodic function. To begin, we assume that
(ω) denotes the Fourier transform of f (x). In order to construct a solution of the same type we choose the ansatz
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© 2001 Springer Basel AG
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Kreiss, HO., Busenhart, H.U. (2001). Cauchy Problems. In: Time-dependent Partial Differential Equations and Their Numerical Solution. Lectures in Mathematics. ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8229-3_1
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DOI: https://doi.org/10.1007/978-3-0348-8229-3_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6125-9
Online ISBN: 978-3-0348-8229-3
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