{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001142469,0.00116677,0.0007366075,0.001071108,0.0007441764,0.00168385,0.001012092,0.001384842,0.004844941],"category_scores_gemma":[0.004586913,0.0003804162,0.0005747278,0.0005112472,0.002254453,0.003436008,0.003408341,0.002260176,0.0004600982],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007090947,"about_ca_system_score_gemma":0.0006016065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005475156,"about_ca_topic_score_gemma":0.0004182895,"domain_scores_codex":[0.9997888,0.00007026902,0.00001393591,0.00003589394,0.00005289772,0.0000381182],"domain_scores_gemma":[0.9986665,0.0004071868,0.000233123,0.0001013072,0.0003200075,0.0002719118],"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":[0.0001853345,0.00008911461,0.0007407145,0.000168702,0.00003425627,0.0003822697,0.0005443507,0.0285226,0.01675922,0.9397223,0.001659613,0.01119153],"study_design_scores_gemma":[0.0000747622,0.0001603966,0.0006187922,0.00004104843,0.00002314523,0.0004066509,0.0003759286,0.4260291,0.004006328,0.5657153,0.002505965,0.00004256824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4609292,0.001029382,0.4992488,0.002420877,0.0004411974,0.00008423878,0.0001248634,0.0002983675,0.03542298],"genre_scores_gemma":[0.9257772,0.0006549318,0.02410798,0.0004540556,0.0002564466,0.0000902152,0.0001660163,0.000250884,0.04824237],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004844941,"threshold_uncertainty_score":0.01620793,"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."}}