{"id":"W2335365164","doi":"10.4153/cjm-2014-002-0","title":"On the Dispersive Estimate for the Dirichlet Schrödinger Propagator and Applications to Energy Critical NLS","year":2014,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Propagator; Dirichlet boundary condition; Mathematical analysis; Dirichlet problem; Dirichlet distribution; Dirichlet's energy; Unit sphere; Boundary value problem; Scattering; Energy (signal processing); Boundary (topology); Mathematical physics; Physics; Quantum mechanics","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":[0.002881408,0.001154815,0.0007034886,0.002534674,0.0009584639,0.001472812,0.001096333,0.001260371,0.004029223],"category_scores_gemma":[0.008351426,0.0003191686,0.0007336116,0.0004898462,0.003804402,0.002615153,0.003949518,0.0022092,0.0004164671],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001280447,"about_ca_system_score_gemma":0.000668221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001274718,"about_ca_topic_score_gemma":0.001011133,"domain_scores_codex":[0.999449,0.0002354564,0.00002560909,0.00004987082,0.0001752569,0.00006489077],"domain_scores_gemma":[0.9966439,0.00202814,0.0003529475,0.0001816111,0.0004741382,0.0003192647],"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":[0.00009850804,0.00007343137,0.0008321456,0.0001342505,0.0000219983,0.0004034964,0.0003458108,0.04528209,0.01146681,0.9339907,0.001148472,0.006202116],"study_design_scores_gemma":[0.00002377827,0.00005919329,0.0003802884,0.00005494931,0.00001022116,0.0002021824,0.0001886979,0.5224772,0.0044852,0.4703053,0.001778968,0.00003411177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2306961,0.001066517,0.7284302,0.003155864,0.0002196911,0.00009288727,0.00009692649,0.0003231706,0.03591863],"genre_scores_gemma":[0.8812677,0.0007706781,0.1031295,0.0004135362,0.000279684,0.0001063459,0.0001417045,0.0002365228,0.0136545],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004029223,"threshold_uncertainty_score":0.01523852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03815672841188173,"score_gpt":0.3208866421901609,"score_spread":0.2827299137782792,"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."}}