Evolution generated by semilinear dissipative plus compact operators

Schechter, Eric

doi:10.1090/S0002-9947-1983-0678351-X

Evolution generated by semilinear dissipative plus compact operators
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by Eric Schechter

Trans. Amer. Math. Soc. 275 (1983), 297-308

DOI: https://doi.org/10.1090/S0002-9947-1983-0678351-X

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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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