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Beschreibung:
We consider the situation when an elliptic problem in a subdomain Ω 1 of an n-dimensional bounded domain Ω is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in Ω\Ω 1 . In particular, we can treat elliptic-parabolic equations in bounded domains with discontinuous coefficients. Using Fourier multiplier techniques, we prove an a priori estimate for strong solutions to the equations in L p -Sobolev spaces. ; published