{"id":"W1987539844","doi":"10.1016/j.jmaa.2007.04.048","title":"Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Sobolev space; Mathematics; Interpolation (computer graphics); TRACE (psycholinguistics); Boundary value problem; Trace operator; Interpolation space; Mathematical analysis; Sobolev spaces for planar domains; Pure mathematics; Boundary (topology); Elliptic curve; Elliptic boundary value problem; Free boundary problem; Functional analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.001002506,0.0001564261,0.0005207289,0.0007052722,0.0002323526,0.0001667283,0.0001595778,0.00007085337,0.000287356],"category_scores_gemma":[0.00008044628,0.0001071265,0.0001856511,0.001452185,0.0002003265,0.000200387,0.00002673728,0.0002300935,0.00001196969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004455831,"about_ca_system_score_gemma":0.00008046704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001016957,"about_ca_topic_score_gemma":0.0002316682,"domain_scores_codex":[0.9982091,0.00004147538,0.0009728411,0.0001624214,0.0003976048,0.0002165408],"domain_scores_gemma":[0.9978172,0.0009875913,0.0005183162,0.0002399277,0.0002727321,0.0001642355],"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":[0.00002365584,0.001526934,0.002677586,0.0001290293,0.001027789,0.00001625045,0.0006110138,0.00007182865,0.0005492606,0.9892958,0.00008623987,0.003984638],"study_design_scores_gemma":[0.000752724,0.0001369846,0.002970831,0.0001314794,0.002581953,0.00007827979,0.001467029,0.005193904,0.0002142128,0.9848127,0.001404961,0.000254957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2358719,0.00008129753,0.7620684,0.0004417435,0.000008180586,0.000217227,0.000008641355,0.00001296269,0.001289718],"genre_scores_gemma":[0.9501634,0.00003407507,0.04933815,0.00003250438,0.00007234415,0.00003475755,0.00001206162,0.00001432299,0.0002983738],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7142915,"threshold_uncertainty_score":0.4368492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02424386328530831,"score_gpt":0.3051165172490417,"score_spread":0.2808726539637334,"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."}}