{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001471766,0.001083787,0.0008082827,0.001498414,0.001183653,0.002597682,0.001072416,0.001321504,0.005023261],"category_scores_gemma":[0.002836191,0.0004057358,0.000852771,0.0005720568,0.002213837,0.001802234,0.001828741,0.001392217,0.0003300096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001242381,"about_ca_system_score_gemma":0.001345778,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001130769,"about_ca_topic_score_gemma":0.0008172265,"domain_scores_codex":[0.9994884,0.000168996,0.00003758117,0.0000728532,0.0001564567,0.00007578497],"domain_scores_gemma":[0.9971846,0.001149932,0.000452737,0.000097467,0.0005625064,0.0005526866],"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":[0.00007000614,0.00006467105,0.0004504456,0.0000624911,0.00001936368,0.0003431321,0.000391076,0.006811883,0.004096337,0.9832377,0.00079148,0.003661411],"study_design_scores_gemma":[0.000139885,0.0001706426,0.001124589,0.00004129158,0.00001539341,0.0005419448,0.0003702018,0.2045577,0.001264553,0.7889423,0.002775806,0.00005568398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5897287,0.00263632,0.3207346,0.002978604,0.0008889083,0.0002610455,0.0005008691,0.0002577394,0.08201323],"genre_scores_gemma":[0.9364535,0.000803117,0.02416245,0.000338779,0.0003192541,0.0002208833,0.0003031896,0.00006270667,0.03733623],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005023261,"threshold_uncertainty_score":0.01680452,"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."}}