{"id":"W2062060574","doi":"10.1016/j.jfa.2005.04.001","title":"Regularity theorems for parabolic equations","year":2005,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":34,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Term (time); Parabolic partial differential equation; Mathematical analysis; Heat equation; Pure mathematics; Partial differential equation; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003327269,0.001422924,0.001408162,0.003661295,0.001388933,0.001945047,0.001398122,0.001546291,0.004178443],"category_scores_gemma":[0.008304861,0.0008229798,0.002411109,0.001167999,0.003024674,0.004715812,0.004281411,0.005090908,0.0006996142],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00125001,"about_ca_system_score_gemma":0.0008350083,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001652865,"about_ca_topic_score_gemma":0.0007968666,"domain_scores_codex":[0.9993154,0.000238829,0.0000529823,0.0001197302,0.0001838734,0.00008924361],"domain_scores_gemma":[0.99615,0.00191285,0.0003339656,0.0003604608,0.0007586498,0.0004840665],"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":[0.00006078016,0.00003397287,0.0004897399,0.00007428267,0.00003792204,0.00008689916,0.0002301697,0.002301129,0.002110253,0.9849353,0.002925835,0.006713805],"study_design_scores_gemma":[0.00002959079,0.00003737388,0.0005956301,0.00002638763,0.000024239,0.0001016024,0.00008880238,0.0226808,0.000524309,0.9702383,0.005632105,0.00002089453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1999525,0.008306144,0.6295382,0.01492081,0.001977541,0.0001838663,0.0008886571,0.0005159905,0.1437164],"genre_scores_gemma":[0.832096,0.007278019,0.07242407,0.002610186,0.004276173,0.0003621695,0.001511798,0.0006230699,0.07881859],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004178443,"threshold_uncertainty_score":0.01759648,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02775885595261855,"score_gpt":0.269177315574908,"score_spread":0.2414184596222895,"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."}}