Abstract
The Cauchy problemdu/dt =Au(t),u(0) =u 0∈D(A) has analytic solutions whenA has first and second Gateaux derivatives along the solution curve in a certain weak sense. HereA is a maximal monotone operator in a complex Hilbert space.
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Furuya, K. Analyticity of nonlinear semigroups. Israel J. Math. 68, 89–101 (1989). https://doi.org/10.1007/BF02764971
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DOI: https://doi.org/10.1007/BF02764971