{"paper":{"title":"On the right multiplicative perturbation of non-autonomous $L^p$-maximal regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Birgit Jacob, Bj\\\"orn Augner, Hafida Laasri","submitted_at":"2014-07-31T12:56:18Z","abstract_excerpt":"This paper is devoted to the study of $L^p$-maximal regularity for non-autonomous linear evolution equations of the form \\begin{equation*}\\label{Multi-pert1-diss-non}\n  \\dot u(t)+A(t)B(t)u(t)=f(t)\\ \\ t\\in[0,T],\\ \\\n  u(0)=u_0.\n  \\end{equation*} where $\\{A(t),\\ t\\in [0,T]\\}$ is a family of linear unbounded operators whereas the operators $\\{B(t),\\ t\\in [0,T]\\}$ are bounded and invertible. In the Hilbert space situation we consider operators $A(t), \\ t\\in[0,T],$ which arise from sesquilinear forms. The obtained results are applied to parabolic linear differential equations in one spatial dimensio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8395","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"}