{"paper":{"title":"Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio Bove, Enrico Bernardi, Vesselin Petkov","submitted_at":"2013-03-05T07:25:11Z","abstract_excerpt":"We study a class of third order hyperbolic operators $P$ in $G = \\{(t, x):0 \\leq t \\leq T, x \\in U \\Subset {\\mathbb R}^{n}\\}$ with triple characteristics at $\\rho = (0, x_0, \\xi), \\xi \\in {\\mathbb R}^n \\setminus \\{0\\}$. We consider the case when the fundamental matrix of the principal symbol of $P$ at $\\rho$ has a couple of non-vanishing real eigenvalues. Such operators are called {\\it effectively hyperbolic}. V. Ivrii introduced the conjecture that every effectively hyperbolic operator is {\\it strongly hyperbolic}, that is the Cauchy problem for $P + Q$ is locally well posed for any lower ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0950","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"}