{"id":"W4390440106","doi":"10.1007/978-3-031-39524-6_8","title":"Second-order parabolic and hyperbolic PDEs","year":2023,"lang":"en","type":"book-chapter","venue":"CMS/CAIMS books in mathematics","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Order (exchange); Parabolic partial differential equation; Mathematics; Hyperbolic partial differential equation; Mathematical analysis; Partial differential equation; Economics","routes":{"ca_aff":true,"ca_fund":false,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002599408,0.0004761145,0.0008114456,0.0002617103,0.00007175127,0.000091637,0.0002429576,0.0004571405,0.0005832165],"category_scores_gemma":[0.0001332425,0.0005059174,0.0001385709,0.00006030185,0.0001926462,0.00007585948,0.00009313889,0.0005531601,0.0003158632],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008143464,"about_ca_system_score_gemma":0.00004752232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004613352,"about_ca_topic_score_gemma":0.0004542723,"domain_scores_codex":[0.9983056,0.00001400698,0.0007061654,0.0003537781,0.0002699301,0.0003505425],"domain_scores_gemma":[0.9986165,0.00049086,0.00008954873,0.0006246584,0.00006757814,0.00011083],"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":[0.00001234489,0.0001037583,0.00004847148,0.004724947,0.0004601121,0.00002431096,0.005790277,0.0008595854,0.0003268848,0.9688252,0.001328621,0.01749551],"study_design_scores_gemma":[0.0006719249,0.0000364144,0.0002354444,0.0005821019,0.0001406196,0.000009553699,0.0001565956,0.02007861,0.00005141069,0.9576961,0.01951914,0.0008220865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01946077,0.002296288,0.001898404,0.0001677714,0.0007967738,0.001471044,0.0002116197,0.001158073,0.9725392],"genre_scores_gemma":[0.09823506,0.001968934,0.00614601,0.0001818982,0.0006211824,0.0003701657,0.0001279558,0.0008240494,0.8915247],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.08101452,"threshold_uncertainty_score":0.9997392,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02653541722971998,"score_gpt":0.2223736473972074,"score_spread":0.1958382301674874,"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."}}