{"id":"W2110130933","doi":"10.1007/s00028-014-0271-1","title":"C 0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain","year":2015,"lang":"en","type":"article","venue":"Journal of Evolution Equations","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":44,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; University of Waterloo; University of Twente; Deutsche Forschungsgemeinschaft; Bergische Universität Wuppertal","keywords":"Mathematics; Hyperbolic partial differential equation; Semigroup; Domain (mathematical analysis); Partial differential equation; Homogeneous; Mathematical analysis; Class (philosophy); Simple (philosophy); Boundary (topology); Transmission (telecommunications); Method of characteristics; First-order partial differential equation; Telegrapher's equations; Pure mathematics; Electric power transmission; Computer science; Combinatorics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006013639,0.0002094575,0.000398291,0.0003262917,0.0002292624,0.00006606163,0.0002053592,0.000148075,0.000140124],"category_scores_gemma":[0.001738734,0.0002088573,0.0003449239,0.0002493537,0.00008909724,0.0003231832,0.0000205166,0.0002822508,0.00004707553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005047205,"about_ca_system_score_gemma":0.0003141461,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003456404,"about_ca_topic_score_gemma":0.0001898632,"domain_scores_codex":[0.9977759,0.0001427025,0.000898225,0.0001773959,0.0006903924,0.0003154313],"domain_scores_gemma":[0.9975397,0.0009524168,0.0002264947,0.0002602648,0.0007236913,0.0002974097],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001122109,0.002479014,0.0003841307,0.00008325252,0.0008083156,0.000002324158,0.002226755,0.6619926,0.03387864,0.2848872,0.003805081,0.008330582],"study_design_scores_gemma":[0.007083532,0.001214957,0.004633172,0.0001024723,0.00040409,0.000009853187,0.000440923,0.8936648,0.000814931,0.08975906,0.001368457,0.0005037006],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1439317,0.000144518,0.8528409,0.0009550934,0.001368578,0.000403464,0.00009366337,0.00007808462,0.0001839633],"genre_scores_gemma":[0.9956067,0.000001992646,0.00301922,0.00004211397,0.001135009,0.00007362803,0.00005271241,0.00002908829,0.00003953436],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.851675,"threshold_uncertainty_score":0.8516951,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04186173031621422,"score_gpt":0.2543122321942676,"score_spread":0.2124505018780534,"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."}}