{"id":"W1988232098","doi":"10.1090/s0002-9947-05-03638-x","title":"Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces","year":2005,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Board for Higher Mathematics; National Science Foundation","keywords":"Mathematics; Martingale (probability theory); Laplace operator; Partial differential equation; Elliptic operator; Lambda; Elliptic partial differential equation; Pure mathematics; Operator (biology); Norm (philosophy); p-Laplacian; Mathematical analysis; Applied mathematics; Boundary value problem","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":[0.005563724,0.001922937,0.0008437305,0.00368424,0.001083864,0.002926268,0.001709835,0.001294115,0.01028616],"category_scores_gemma":[0.01331889,0.0005781209,0.001814643,0.001355155,0.003187519,0.009483813,0.004456843,0.005345902,0.002075919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001846433,"about_ca_system_score_gemma":0.0009982869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001749736,"about_ca_topic_score_gemma":0.001422999,"domain_scores_codex":[0.9978582,0.000717324,0.000134578,0.0002870611,0.0007658812,0.0002370011],"domain_scores_gemma":[0.9919217,0.00409442,0.0006261937,0.0006361111,0.001942188,0.0007794481],"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":[0.00003958623,0.0000225667,0.0003623205,0.0001457597,0.00002259978,0.0001033745,0.0002455187,0.002547055,0.00235502,0.9779792,0.002904224,0.01327268],"study_design_scores_gemma":[0.00001152233,0.00006959717,0.0008548569,0.0000839619,0.00002806434,0.000214229,0.0002001462,0.05494555,0.003337739,0.9235775,0.01663117,0.00004567895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02897483,0.002380743,0.9133088,0.002267425,0.000902608,0.00005904152,0.0004148063,0.0003746119,0.05131711],"genre_scores_gemma":[0.5569481,0.007569805,0.3142417,0.001731662,0.002561167,0.0004620443,0.001633786,0.001520027,0.1133316],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01028616,"threshold_uncertainty_score":0.0344106,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01474724025550456,"score_gpt":0.2621143638709282,"score_spread":0.2473671236154237,"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."}}