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Results tagged with cauchy-problem
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user 124450
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$u_t=Au+F(u)$ where $A$ is the infinitesimal generator of $C_0$-semigroup
Your claim is true. Observe that there is no loss of generality to assume $\|T(t)\|\leq M$ for all $t\geq 0$ since you can add a constant to $A$, which you then absorb into $F$. Now the standard fixed …
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