{"paper":{"title":"Stability for evolution equations governed by a non-autonomous form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hafida Laasri, Omar EL-Mennaoui","submitted_at":"2017-06-20T09:27:26Z","abstract_excerpt":"This paper deals with the approximation of non-autonomous evolution equations of the form \\begin{equation*}\\label{Abstract equation} \\dot u(t)+A(t)u(t)=f(t)\\ \\ t\\in[0,T],\\ \\ u(0)=u_0. \\end{equation*} where $A(t),\\ t\\in [0,T]$ arise from a non-autonomous sesquilinear forms $\\mathfrak a(t;\\cdot,\\cdot)$ on a Hilbert space $H$ with constant domain $V\\subset H.$ Assuming the existence of a sequence $\\mathfrak a_n:[0,T]\\times V\\times V\\longrightarrow\\mathbb C, n\\in \\mathbb N$ of non-autonomous forms such that the associated Cauchy problem has $L^2$-maximal regularity in $H$ and $\\mathfrak a_n(t,u,v)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06895","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"}