A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
Lp-estimates for a transmission problem of mixed elliptic-parabolic type
Boundary Value Problems
We consider the situation when an elliptic problem in a subdomain 1 of an n-dimensional bounded domain is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in \ 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. MSC: 35B45; 35M12doi:10.1186/1687-2770-2014-22 fatcat:ogml6aj2pbgvhny7god5oa5x2a