{"paper":{"title":"A quasilinear bistable equation in cylinders and timelike heteroclinics in special relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Denis Bonheure, Isabel Coelho, Manon Nys","submitted_at":"2016-03-17T19:33:26Z","abstract_excerpt":"In this note we consider the action functional \\[ \\int_{\\mathbb{R} \\times \\omega} \\left( 1 - \\sqrt{ 1 - |\\nabla u|^2 } + W(u) \\right) \\, \\mathrm{d}t, \\] where $W$ is a double well potential and $\\omega$ is a bounded domain of $\\mathbb{R}^{N-1}$. We prove existence, one-dimensionality and uniqueness (up to translation) of a smooth minimizing phase transition between the two stable states $u=1$ and $u=-1$. The question of existence of at least one minimal heteroclinic connection for the non autonomous model \\[ \\int_{\\mathbb{R}} \\left( 1 - \\sqrt{1-|u'|^2} + a(t) W(u) \\right) \\, \\mathrm{d}t \\] is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05632","kind":"arxiv","version":2},"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"}