{"id":"W2060872517","doi":"10.1002/mma.1295","title":"On extending some maximum principles to convex domains with nonsmooth boundaries","year":2010,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Bounded function; Regular polygon; Convex analysis; Maximum principle; Subderivative; Convex function; Calculus (dental); Pure mathematics; Mathematical economics; Applied mathematics; Mathematical optimization; Mathematical analysis; Convex optimization; Geometry","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":[0.005145112,0.001098297,0.00113716,0.001723057,0.001383136,0.001356619,0.001685771,0.001430275,0.003507511],"category_scores_gemma":[0.008818466,0.0006945146,0.00199667,0.001026445,0.003361944,0.005193762,0.004448382,0.004447489,0.000722023],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005927495,"about_ca_system_score_gemma":0.0006617479,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000514492,"about_ca_topic_score_gemma":0.0005591915,"domain_scores_codex":[0.9983914,0.0006332742,0.00007221904,0.0002574044,0.000505305,0.0001402987],"domain_scores_gemma":[0.9959785,0.002661237,0.0002458278,0.000389369,0.0005085366,0.0002166468],"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":[0.00002059943,0.00003339052,0.0002981416,0.0002259366,0.00002547254,0.0001301958,0.0002814979,0.01750085,0.002272251,0.9405758,0.002148125,0.03648777],"study_design_scores_gemma":[0.00001139184,0.00005962169,0.0002907075,0.00007949903,0.00001428739,0.0001744339,0.00006321893,0.05875141,0.00112558,0.9287736,0.01063234,0.00002396834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008873996,0.001523218,0.9707549,0.0006302686,0.0001457888,0.00004060547,0.00004211322,0.00008327667,0.0179059],"genre_scores_gemma":[0.3767956,0.007129811,0.5923818,0.001722297,0.0010922,0.0004193005,0.0002504306,0.0005920377,0.01961653],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005145112,"threshold_uncertainty_score":0.0272103,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1236638443843731,"score_gpt":0.440081622141064,"score_spread":0.3164177777566909,"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."}}