Abstract.
We study the relationship between the Dirichlet problem and the Cauchy problem with inhomogeneous boundary conditions for local operators. Our results are applied to non-autonomous parabolic problems on non-cylindrical domains.
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Received January 10, 2001; accepted April 5, 2001.
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Lumer, G., Schnaubelt, R. Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions. J.evol.equ. 1, 291–309 (2001). https://doi.org/10.1007/PL00001372
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DOI: https://doi.org/10.1007/PL00001372