Abstract
In this section we will study the following semilinear initial value problem:
where -A is the infinitesimal generator of a C0semigroup T(t), t ≥ 0, on a Banach space X and f: [t 0 ,T] X X→ X is continuous in t and satisfies a Lipschitz condition in u.
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© 1983 Springer-Verlag New York, Inc.
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Pazy, A. (1983). Some Nonlinear Evolution Equations. In: Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, vol 44. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5561-1_6
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DOI: https://doi.org/10.1007/978-1-4612-5561-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5563-5
Online ISBN: 978-1-4612-5561-1
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