{"paper":{"title":"A maximal regularity estimate for the non-stationary Stokes equation in the strip","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antoine Choffrut, Camilla Nobili, Felix Otto","submitted_at":"2017-03-27T17:51:05Z","abstract_excerpt":"In a $d-$dimensional strip with $d\\geq 2$, we study the non-stationary Stokes equation with no-slip boundary condition in the lower and upper plates and periodic boundary condition in the horizontal directions. In this paper we establish a new maximal regularity estimate in the real interpolation norm\n  \\begin{equation*}\n  ||f||_{(0,1)}=\\inf_{f=f_0+f_1}\\left\\{\\left\\langle\\sup_{0<z<1} |f_0|\\right\\rangle+\n  \\left\\langle\\int_0^{1} |f_1| \\frac{dz}{(1-z)z}\\right\\rangle\\right\\}\\,,\n  \\end{equation*} where the brackets $\\langle\\cdot\\rangle$ denotes the horizontal-space and time average. The norms invo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09208","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}