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Dichotomies for Abstract Semilinear Equations

✍ Scribed by Y.H. Chang; R.H. Martin

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
539 KB
Volume
189
Category
Article
ISSN
0022-247X

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## Abstract The Cauchy problem for the abstract semilinear evolution equation __u__^β€²^(__t__) = __Au__ (__t__) + __B__ (__u__ (__t__)) + __C__ (__u__ (__t__)) is discussed in a general Banach space __X__. Here __A__ is the so‐called Hille‐Yosida operator in __X__, __B__ is a differentiable operator