{"id":"W2174084481","doi":"10.1007/s11868-015-0128-6","title":"Existence of stationary solutions for some integro-differential equations with anomalous diffusion","year":2015,"lang":"en","type":"article","venue":"Journal of Pseudo-Differential Operators and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Sobolev space; Laplace operator; Mathematical analysis; p-Laplacian; Differential equation; Fractional Laplacian; Laplace transform; Operator (biology); Boundary value problem","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":[0.001413681,0.001089751,0.001108836,0.002251609,0.001678938,0.002759149,0.0011657,0.001917739,0.002673036],"category_scores_gemma":[0.0065935,0.0007330641,0.002052254,0.0009975662,0.002514865,0.002660329,0.00213428,0.00258732,0.0002506867],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001398975,"about_ca_system_score_gemma":0.001691177,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001594769,"about_ca_topic_score_gemma":0.0009246058,"domain_scores_codex":[0.9996301,0.00009928454,0.00003526647,0.00007735001,0.00008089832,0.00007701517],"domain_scores_gemma":[0.9973062,0.001385025,0.0003843346,0.00007792624,0.0005457539,0.0003008079],"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":[0.0001623894,0.0001080205,0.002204774,0.0002510928,0.0001357801,0.0009771113,0.0006968205,0.01814465,0.01372269,0.9547166,0.001505398,0.007374758],"study_design_scores_gemma":[0.0001206029,0.0001411694,0.001474988,0.00009495835,0.0001055424,0.0009678171,0.0006882005,0.3991846,0.004355499,0.5902952,0.002489333,0.00008195075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6734651,0.003289984,0.2877817,0.005731654,0.0005795634,0.0001243905,0.0002457921,0.0001723007,0.02860951],"genre_scores_gemma":[0.9571962,0.001625015,0.0265138,0.0003779555,0.0003371203,0.0001301192,0.0002428889,0.00006805788,0.01350901],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002759149,"threshold_uncertainty_score":0.01015037,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06747131204084265,"score_gpt":0.3178840232189034,"score_spread":0.2504127111780607,"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."}}