{"id":"W2769814769","doi":"","title":"On some refinements of the embedding of critical Sobolev spaces into BMO, and a study of stability for parabolic equations with time delay","year":2017,"lang":"en","type":"dissertation","venue":"Spectrum Research Repository (Concordia University)","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Concordia University","keywords":"Mathematics; Sobolev space; Bounded function; Stability (learning theory); Mathematical analysis; Embedding; Context (archaeology); Sobolev inequality; Heat equation; Parabolic partial differential equation; Partial differential equation","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000621368,0.000206651,0.0005678494,0.0004898245,0.0006330225,0.00004513187,0.0005717636,0.0001563278,0.00002252983],"category_scores_gemma":[0.002085143,0.0001702123,0.0001372037,0.0003146477,0.0005604117,0.0001663719,0.0001312525,0.000400403,7.770101e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001525701,"about_ca_system_score_gemma":0.0006789852,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003715867,"about_ca_topic_score_gemma":0.01656232,"domain_scores_codex":[0.9974469,0.0005847465,0.0004275696,0.0004097419,0.0008391207,0.0002918987],"domain_scores_gemma":[0.9954506,0.002269188,0.0005565819,0.000892639,0.0007278186,0.0001031334],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.01270665,0.01735682,0.03672608,0.01046128,0.003546549,0.00008466984,0.03470729,0.0001861198,0.1391909,0.7437831,0.0002717212,0.0009788871],"study_design_scores_gemma":[0.0131799,0.02204186,0.1239234,0.004885944,0.004606999,0.000006635261,0.06003424,0.00912042,0.4854209,0.2747064,0.0001784569,0.00189491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9949982,0.00001793828,0.0001395946,0.00007554246,0.0001231401,0.001596606,0.00006833165,0.00001287565,0.002967748],"genre_scores_gemma":[0.9968616,0.00000416626,0.0001635402,4.03859e-7,0.00004470718,0.00001601079,0.00002252941,0.00002989565,0.002857165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4690767,"threshold_uncertainty_score":0.9242162,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07338100798474757,"score_gpt":0.3840302829806109,"score_spread":0.3106492749958633,"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."}}