Lp-estimates for a transmission problem of mixed elliptic-parabolic type

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2013
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Konstanzer Schriften in Mathematik; 318
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Abstract
We consider the situation when an elliptic problem in a subdomain Ω1 of an n-dimensional bounded domain Ω is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in Ω\Ω1. 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 Lp-Sobolev spaces.
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510 Mathematics
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Transmission problem,elliptic-parabolic equation,a priori estimates
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ISO 690DENK, Robert, Tim SEGER, 2013. Lp-estimates for a transmission problem of mixed elliptic-parabolic type
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@techreport{Denk2013estim-24165,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={L<sup>p</sup>-estimates for a  transmission problem of mixed elliptic-parabolic type},
  number={318},
  author={Denk, Robert and Seger, Tim}
}
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