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(Usually one-parameter) semigroups of linear operators and their applications to partial differential equations, stochastic processes such as Markov processes and other branches of mathematics.
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Regularity of the mild solution of a semilinear evolution equation
This problem has been addressed by many authors. Here I present a general result (Theorem 4.1) from the "Abstract parabolic equations and their applications" by A. Yagi.
Let us consider the following …