@article{Denk2014estim-28061,
  year={2014},
  doi={10.1186/1687-2770-2014-22},
  title={L<sup>p</sup>-estimates for a transmission problem of mixed elliptic-parabolic type},
  number={1},
  volume={2014},
  issn={1687-2770},
  journal={Boundary Value Problems},
  author={Denk, Robert and Seger, Tim},
  note={Article Number: 22}
}

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    <dcterms:bibliographicCitation>Boundary value problems ; (2014). - 22</dcterms:bibliographicCitation>
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    <dc:contributor>Denk, Robert</dc:contributor>
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    <dc:contributor>Seger, Tim</dc:contributor>
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    <dcterms:abstract xml:lang="eng">We consider the situation when an elliptic problem in a subdomain Ω&lt;sub&gt;1&lt;/sub&gt; of an n-dimensional bounded domain Ω is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in Ω∖Ω&lt;sub&gt;1&lt;/sub&gt;. 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&lt;sup&gt;p&lt;/sup&gt;-Sobolev spaces.</dcterms:abstract>
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