{"id":"W2088744976","doi":"10.1016/j.jde.2012.01.031","title":"The wave equation on hyperbolic spaces","year":2012,"lang":"en","type":"preprint","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Providence Health Care","keywords":"Wave equation; Mathematics; Operator (biology); Mathematical analysis; Hyperbolic partial differential equation; Nonlinear system; Laplace's equation; Laplace transform; D'Alembert operator; Physics; Partial differential equation; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007406425,0.0008324482,0.0008574095,0.001353842,0.0006659644,0.002155213,0.00092138,0.001653722,0.004923412],"category_scores_gemma":[0.00174299,0.0003995862,0.0005595034,0.0009857692,0.001630467,0.004655777,0.001733852,0.002632794,0.0004828058],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008445474,"about_ca_system_score_gemma":0.0007220016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001746452,"about_ca_topic_score_gemma":0.0009924581,"domain_scores_codex":[0.9997801,0.00006287913,0.00001332852,0.00003389941,0.00008093831,0.00002878383],"domain_scores_gemma":[0.9994771,0.0001714849,0.00006978605,0.00004283228,0.0001223291,0.0001164922],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001913317,0.00001955352,0.0002221092,0.00004128954,0.00001084248,0.00008229037,0.0001124773,0.003162071,0.001295414,0.9894162,0.001727366,0.003891245],"study_design_scores_gemma":[0.00002121082,0.00000962131,0.0003283118,0.00001560704,0.000007581635,0.0001029117,0.00006885146,0.03163314,0.0002634985,0.9646437,0.002890741,0.00001480475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.485935,0.01204005,0.3187536,0.02311322,0.002767005,0.0001298248,0.0009169374,0.0002389815,0.1561053],"genre_scores_gemma":[0.8628048,0.006137515,0.02233359,0.001140879,0.00247325,0.00007743651,0.0005242341,0.0001611135,0.1043473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004923412,"threshold_uncertainty_score":0.01647043,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1615047953006031,"score_gpt":0.3571510709978546,"score_spread":0.1956462756972516,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}