{"id":"W2075924494","doi":"10.1016/j.jfa.2013.08.009","title":"Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data","year":2013,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Mathematics; Modulation space; Sobolev space; Lp space; Mathematical analysis; Small data; Lebesgue integration; Quartic function; Standard probability space; Derivative (finance); Space (punctuation); Pure mathematics; Banach space","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":[0.0004595527,0.0001903724,0.000535837,0.0002130135,0.0001475266,0.0001031112,0.0003217848,0.00005401188,0.0001952886],"category_scores_gemma":[0.0006807999,0.0001310975,0.0001771793,0.0006600806,0.00009177943,0.0007379365,0.0001108435,0.0001755063,0.00002386971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006880943,"about_ca_system_score_gemma":0.00009133016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008013269,"about_ca_topic_score_gemma":0.000013015,"domain_scores_codex":[0.9984412,0.00003101515,0.0006151818,0.0002482233,0.0004594229,0.0002050063],"domain_scores_gemma":[0.9958434,0.001446463,0.0007246473,0.000378088,0.001465814,0.0001416041],"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":[0.001407525,0.005213392,0.005489213,0.001855341,0.0607141,0.00003865993,0.002165313,0.1018197,0.01523445,0.761535,0.03451217,0.01001511],"study_design_scores_gemma":[0.001355768,0.0003460004,0.001102261,0.0001070543,0.0062772,0.00002593869,0.0004508285,0.1023205,0.0002015313,0.8866713,0.0007845332,0.0003570703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02910116,0.00006916207,0.9689442,0.001129244,0.00005820752,0.0002779892,0.00003421202,0.00001179649,0.0003740434],"genre_scores_gemma":[0.4486141,0.00002379234,0.5497108,0.00031326,0.0003527093,0.00003373564,0.0000859148,0.00004031324,0.0008254032],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4195129,"threshold_uncertainty_score":0.5346,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09990022549733903,"score_gpt":0.3096764004872853,"score_spread":0.2097761749899463,"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."}}