Abstract
We will first recall some elementary results concerning the Cauchy problem for the linear wave equation. Then, we will indicate the new phenomenons appearing in the study of semilinear wave equations and we will describe the theorems obtained by Beals, Bony, Melrose-Ritter about semilinear Cauchy problems with conormal data. Lastly, we will state “swallow-tail’s problem”, which will be solved in the last chapter of this text, where we expose a method due to Lebeau.
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© 1992 Springer-Verlag Berlin Heidelberg
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Delort, JM. (1992). Introduction. In: F.B.I. Transformation. Lecture Notes in Mathematics, vol 1522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21539-5_1
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DOI: https://doi.org/10.1007/978-3-662-21539-5_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55764-7
Online ISBN: 978-3-662-21539-5
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