Abstract
This chapter is devoted to nonlinear evolution equations in a Banach space with separated constant linear operators and continuous nonlinearities. These nonlinearities are subject to the linear operators in a certain sense. Such equations are called semilinear equations. Wide classes of nonlinear distributed parameter systems are governed by semilinear equations in a Banach space.
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Gil’, M.I. (1998). Semilinear Equations in Banach Spaces with Constant Linear Parts. In: Stability of Finite and Infinite Dimensional Systems. The Springer International Series in Engineering and Computer Science, vol 455. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-5575-9_15
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DOI: https://doi.org/10.1007/978-1-4615-5575-9_15
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