{"id":"W2911925386","doi":"10.1016/j.na.2019.01.010","title":"Finite time blow-up for the fractional critical heat equation in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\" id=\"d1e20\" altimg=\"si13.gif\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>","year":2019,"lang":"lv","type":"article","venue":"Nonlinear Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Zhejiang University","keywords":"Heat equation; Mathematics; Combinatorics; Critical point (mathematics); Scroll; Mathematical physics; Point (geometry); Physics; Discrete mathematics; Mathematical analysis; Geometry; Theology; Philosophy","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":[0.0009496042,0.001140406,0.0008343645,0.002411694,0.001490166,0.002137177,0.001013601,0.001496242,0.0172625],"category_scores_gemma":[0.006213932,0.0002816106,0.001290315,0.0005317546,0.002132299,0.002986412,0.001991614,0.00267448,0.001009789],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002951468,"about_ca_system_score_gemma":0.001693453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01315207,"about_ca_topic_score_gemma":0.007863873,"domain_scores_codex":[0.9997589,0.0000703779,0.00001342361,0.00003984236,0.00006968633,0.00004765365],"domain_scores_gemma":[0.9988182,0.0005117184,0.0001440588,0.00005902864,0.000216282,0.0002507377],"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":[0.0002171969,0.00004365504,0.0009308,0.000417522,0.00006933659,0.0008218661,0.0003573404,0.04933737,0.005420187,0.9210379,0.01215117,0.00919565],"study_design_scores_gemma":[0.00003307813,0.00002816213,0.001036837,0.0001190248,0.0000358982,0.0001918911,0.0001416311,0.6384387,0.001419349,0.3522784,0.006227794,0.0000493324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2371483,0.01256112,0.4567443,0.01821114,0.003717627,0.0003376256,0.001572663,0.001928137,0.2677791],"genre_scores_gemma":[0.8576143,0.002420883,0.03322469,0.001063751,0.0007764818,0.0002729628,0.0009066702,0.0009389896,0.1027813],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0172625,"threshold_uncertainty_score":0.05774879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02816396478364853,"score_gpt":0.2816334699447659,"score_spread":0.2534695051611174,"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."}}