{"paper":{"title":"Operators of subprincipal type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nils Dencker","submitted_at":"2015-07-20T19:12:47Z","abstract_excerpt":"In this paper we consider the solvability of pseudodifferential operators when the principal symbol vanishes of at least second order at a non-radial involutive manifold $\\Sigma_2$. We shall assume that the subprincipal symbol is of principal type with Hamilton vector field tangent to $\\Sigma_2$ at the characteristics, but transversal to the symplectic leaves of $\\Sigma_2$. We shall also assume that the subprincipal symbol is essentially constant on the leaves of $\\Sigma_2$ and does not satisfy the Nirenberg-Treves condition (${\\Psi}$) on $\\Sigma_2$. In the case when the sign change is of infi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05594","kind":"arxiv","version":4},"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"}