Abstract
This chapter is devoted to the Cauchy problem for a semilinear evolution equation of the form (4.1) in a Banach space X. We want to present existence and uniqueness results in a sophisticated way enough to apply them to various models considered in the subsequent chapters (Chaps. 8, 9, 10, 11, 12, and 13).
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© 2010 Springer-Verlag Berlin Heidelberg
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Yagi, A. (2010). Semilinear Evolution Equations. In: Abstract Parabolic Evolution Equations and their Applications. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04631-5_4
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DOI: https://doi.org/10.1007/978-3-642-04631-5_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04630-8
Online ISBN: 978-3-642-04631-5
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