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New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications
[chapter]
2013
Studies in Phase Space Analysis with Applications to PDEs
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This paper is dedicated to the proof of new maximal regularity results involving Besov spaces for the heat equation in the half-space or in bounded or exterior domains of R n . We strive for time independent a priori estimates in regularity spaces of type L 1 (0, T ; X) where X stands for some homogeneous Besov space. In the case of bounded domains, the results that we get are similar to those of the whole space or of the half-space. For exterior domains, we need to use mixed Besov norms in
doi:10.1007/978-1-4614-6348-1_6
fatcat:jopef36j45bljikbcobpmcgizy