I found in some articles the quasi-contraction semigroup notion. to proove the existence and uniqueness of the following Cauchy-problem $$\eqalign{ & {{dU} \over {dt}} = AU \cr & U(0) = {U_0} \cr} $$ Instead of proving the usuel dissipation of the operator $A$ , they proved the dissipation of $A - cI$ ? is this gives us the same results of the usuel dissipation $(AU,U) \le 0$ ? Thank You.
Quasi-contractive semigroup
1
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functional-analysis
pde