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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Evolution generated by semilinear dissipative plus compact operators


Author: Eric Schechter
Journal: Trans. Amer. Math. Soc. 275 (1983), 297-308
MSC: Primary 34G20; Secondary 47H06
DOI: https://doi.org/10.1090/S0002-9947-1983-0678351-X
MathSciNet review: 678351
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Abstract: Existence results and sharp continuous dependence results are given for an evolution equation in an arbitrary Banach space. The right-hand side of the equation consists of a linear dissipative term plus a continuous dissipative term plus a compact term.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1983-0678351-X
Keywords: Accretive, compact, continuous dependence, dissipative, evolution, perturbation, semilinear
Article copyright: © Copyright 1983 American Mathematical Society