{"id":"W4402231499","doi":"10.1016/j.jde.2024.08.072","title":"Scattering and blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies","year":2024,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of British Columbia","keywords":"Mathematics; Nonlinear system; Nonlinear Schrödinger equation; Schrödinger equation; Scattering; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001162922,0.00160023,0.001292003,0.003339185,0.002363557,0.003194978,0.001685984,0.00272745,0.006789147],"category_scores_gemma":[0.007787799,0.0009484139,0.001460035,0.0008749023,0.00413613,0.003818461,0.003588758,0.00298795,0.0005678696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001296444,"about_ca_system_score_gemma":0.001058694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002383961,"about_ca_topic_score_gemma":0.001780806,"domain_scores_codex":[0.9994543,0.0001343486,0.00003993413,0.00005333442,0.0001537855,0.0001643195],"domain_scores_gemma":[0.9965244,0.001640362,0.0004593608,0.0001607345,0.000346219,0.0008689982],"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":[0.001068859,0.0003765851,0.004656192,0.0003701309,0.0001456976,0.003914587,0.001909315,0.04940943,0.03064567,0.8970978,0.002898128,0.007507636],"study_design_scores_gemma":[0.0001313899,0.00008739268,0.002672667,0.0000627065,0.00004206456,0.0007971394,0.0006423877,0.53146,0.002765923,0.4607536,0.0004720459,0.0001127229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9230734,0.0007800834,0.04329535,0.001791669,0.0002425045,0.00007911028,0.0001429726,0.0004126918,0.03018212],"genre_scores_gemma":[0.9837279,0.0002700739,0.00522584,0.0001865653,0.0001071045,0.00005187585,0.0002046762,0.0001516812,0.01007423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006789147,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05885364735333257,"score_gpt":0.3131359649548265,"score_spread":0.2542823176014939,"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."}}