{"paper":{"title":"Controllability and Qualitative properties of the solutions to SPDEs driven by boundary L\\'evy noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Erika Hausenblas, Paul Andre Razafimandimby","submitted_at":"2012-07-11T11:31:21Z","abstract_excerpt":"Let $u$ be the solution to the following stochastic evolution equation (1)\ndu(t,x)& = &A u(t,x) dt + B \\sigma(u(t,x)) dL(t),\\quad t>0;\nu(0,x) = x\ntaking values in an Hilbert space $\\HH$, where $L$ is a $\\RR$ valued L\\'evy process, $A:H\\to H$ an infinitesimal generator of a strongly continuous semigroup, $\\sigma:H\\to \\RR$ bounded from below and Lipschitz continuous, and $B:\\RR\\to H$ a possible unbounded operator. A typical example of such an equation is a stochastic Partial differential equation with boundary L\\'evy noise. Let $\\CP=(\\CP_t)_{t\\ge 0}$ %{\\CP_t:0\\le t<\\infty}$ the corresponding Mar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2603","kind":"arxiv","version":3},"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"}