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elliptic operators, fractional derivatives, Elliptic operators, $\mathcal{H} ^\infty $-calculus, evolutionary integral equations, transmission conditions, $\mathcal{R}$-boundedness, 35K65, Degenerate elliptic equations, Degenerate parabolic equations, 35J70, maximal $L_p$-regularity, Dirichlet-Neumann operators, $\mathcal{R} $-boundedness, $\mathcal{H}^\infty$-calculus
elliptic operators, fractional derivatives, Elliptic operators, $\mathcal{H} ^\infty $-calculus, evolutionary integral equations, transmission conditions, $\mathcal{R}$-boundedness, 35K65, Degenerate elliptic equations, Degenerate parabolic equations, 35J70, maximal $L_p$-regularity, Dirichlet-Neumann operators, $\mathcal{R} $-boundedness, $\mathcal{H}^\infty$-calculus
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