Abstract
In this chapter we consider several results on the well-posedness of initial-value problems for the KdVE and NLSE that are used in the next sections. In Additional remarks to this chapter, we mention additional literature on this subject. Now we prove the result, generally well-known, which is intensively exploited further.
Keywords
- Initial Data
- Cauchy Problem
- Differentiable Function
- Local Solvability
- Additional Remark
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Evolutionary equations. Results on existence. In: Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory. Lecture Notes in Mathematics, vol 1756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45276-1_3
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DOI: https://doi.org/10.1007/3-540-45276-1_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41833-7
Online ISBN: 978-3-540-45276-8
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