{"id":"W1996345554","doi":"10.1016/j.amc.2010.12.066","title":"Global decaying solution to dissipative nonlinear evolution equations with ellipticity","year":2010,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"National Natural Science Foundation of China","keywords":"Dissipative system; Initial value problem; Smoothing; Nonlinear system; Dissipation; Mathematics; Operator (biology); Cauchy problem; Mathematical analysis; Parabolic partial differential equation; Physics; Order (exchange); Evolution equation; Mathematical physics; Applied mathematics; Quantum mechanics","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":[0.0002953408,0.0002536,0.0003171545,0.00006817559,0.0002699125,0.00008302245,0.0001200597,0.00009223075,0.000008495011],"category_scores_gemma":[0.0002029446,0.0002160137,0.0000374639,0.0004052263,0.0001004133,0.0001583648,0.00009446712,0.0001882243,0.00003390613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008981788,"about_ca_system_score_gemma":0.00004929123,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007550268,"about_ca_topic_score_gemma":0.00006439048,"domain_scores_codex":[0.9985507,0.00001053957,0.0004245084,0.0003465909,0.0003735501,0.00029416],"domain_scores_gemma":[0.9985515,0.0005776666,0.000253156,0.0002580135,0.0001873506,0.0001723231],"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":[0.00001709903,0.0002898379,0.00001378828,0.0001680408,0.00002544713,5.544078e-7,0.0007798687,0.001217045,0.005801612,0.9863793,0.00003929487,0.005268167],"study_design_scores_gemma":[0.0003550423,0.00006952583,0.00006239093,0.00005088747,0.00006446763,0.000007245308,0.0002637233,0.1658521,0.0004537266,0.8325675,0.00001072471,0.0002426871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1818039,0.000002553034,0.8133689,0.0001361133,0.00004328124,0.0007566339,0.00001188999,0.0001504663,0.003726223],"genre_scores_gemma":[0.5130013,2.674354e-7,0.4868225,0.00002508915,0.00003849487,0.00007464434,0.000009349334,0.00002033452,0.000007995864],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3311974,"threshold_uncertainty_score":0.8808784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0280022459676219,"score_gpt":0.3157493347254259,"score_spread":0.287747088757804,"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."}}