{"id":"W1767939975","doi":"10.1002/cpa.20029","title":"Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>","year":2004,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":246,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Nonlinear system; Type (biology); Scattering; Nonlinear Schrödinger equation; Argument (complex analysis); Mathematical physics; Mathematical analysis; Schrödinger equation; Pure mathematics; Physics; Quantum mechanics; Chemistry","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":[0.0003524021,0.0002427815,0.0004123909,0.0000671685,0.0003585007,0.00004573707,0.0004331452,0.0001059242,0.000002384318],"category_scores_gemma":[0.000319175,0.0002247918,0.00006984114,0.0002273284,0.0003216043,0.0001078299,0.0002979967,0.000171571,0.000008354978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008034598,"about_ca_system_score_gemma":0.00003806943,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001267516,"about_ca_topic_score_gemma":0.000003131601,"domain_scores_codex":[0.9986873,0.00001575501,0.0005606961,0.0002582153,0.0002190877,0.0002590019],"domain_scores_gemma":[0.9970849,0.001102115,0.0003093776,0.00130797,0.0001111302,0.00008455577],"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":[0.00001303296,0.0007900164,8.320532e-7,0.0005957659,0.00003445972,9.440227e-8,0.001069833,0.0009058172,0.0003838931,0.9945017,0.00004011791,0.00166442],"study_design_scores_gemma":[0.000733033,0.0001329499,0.000002324396,0.0004766434,0.00008689163,0.000006866526,0.000578514,0.01499487,0.0007001426,0.9820049,0.00007529787,0.0002075895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1050188,0.0003013966,0.866234,0.00291461,0.00002740737,0.003144365,0.0002089322,0.0002719859,0.02187848],"genre_scores_gemma":[0.4053992,0.00005626287,0.5941415,0.00007783242,0.00001876501,0.0002416411,0.00001695828,0.00002960053,0.00001814955],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3003804,"threshold_uncertainty_score":0.9166744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1180695213181774,"score_gpt":0.3450000186502644,"score_spread":0.2269304973320871,"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."}}