{"id":"W2016639053","doi":"10.1016/j.jmaa.2005.11.015","title":"Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Université Laval","keywords":"Mathematics; Cylinder; Zero (linguistics); Mathematical analysis; Class (philosophy); Boundary value problem; Initial value problem; Parabolic cylinder function; Heat equation; Value (mathematics); Boundary (topology); Parabolic partial differential equation; Geometry; Partial differential equation; Statistics","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":[0.0006341769,0.000090119,0.0003670187,0.0000856547,0.0001191892,0.00007056611,0.0002342295,0.00004478989,0.00003923235],"category_scores_gemma":[0.0001452149,0.00005895302,0.0001164977,0.0001961081,0.0001448027,0.0000946123,0.00003443036,0.0001159932,0.000001261482],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001218087,"about_ca_system_score_gemma":0.00002582348,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006367383,"about_ca_topic_score_gemma":0.0001039721,"domain_scores_codex":[0.9990152,0.00003456862,0.0005492139,0.0001154055,0.0001875041,0.00009809225],"domain_scores_gemma":[0.9983429,0.0009698501,0.0001581862,0.0003426231,0.0001194421,0.00006702085],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001488106,0.002117197,0.001534811,0.000995232,0.005660699,5.721691e-7,0.001881661,0.01600925,0.00721819,0.6738345,0.0003906289,0.2902084],"study_design_scores_gemma":[0.001025263,0.0001916188,0.00388865,0.00008868693,0.003502342,0.00001639132,0.0003973963,0.803191,0.00118875,0.1789541,0.00731438,0.0002414212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1764146,0.0003907811,0.8202993,0.002151456,0.000008128794,0.0003674829,0.0001108148,0.000009797429,0.0002475625],"genre_scores_gemma":[0.9966704,0.000077518,0.003041757,0.00003715322,0.00009690716,0.00005455854,0.000009433546,0.000006030372,0.00000622819],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8202558,"threshold_uncertainty_score":0.2404035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02660282235001868,"score_gpt":0.2789470129420262,"score_spread":0.2523441905920075,"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."}}