{"id":"W2555326215","doi":"","title":"L^2-solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with time-independent Hölder-continuous coefficients","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Lipschitz continuity; Bounded function; Dirichlet distribution; Divergence (linguistics); Dirichlet problem; Mathematical analysis; Diffusion; Neumann boundary condition; Pure mathematics; Lipschitz domain; Scheme (mathematics); 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":[0.001754878,0.001659022,0.0006625244,0.001151928,0.0007291842,0.001812811,0.001080669,0.001923331,0.002123954],"category_scores_gemma":[0.007227339,0.000466281,0.001397718,0.0002585925,0.003278351,0.003254218,0.004539069,0.002720333,0.0002728931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007881686,"about_ca_system_score_gemma":0.001121596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001221512,"about_ca_topic_score_gemma":0.0006628399,"domain_scores_codex":[0.9994028,0.0002234276,0.00003394959,0.0001160009,0.0001292716,0.00009453873],"domain_scores_gemma":[0.9977998,0.001235377,0.0003072724,0.0001074777,0.0002892005,0.0002609245],"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":[0.0001250499,0.00008599,0.001199943,0.0002287837,0.00004823349,0.000557949,0.0006263573,0.03013277,0.01425499,0.9423248,0.001356499,0.009058764],"study_design_scores_gemma":[0.00005016388,0.00009961743,0.0006762112,0.00003596544,0.00001780026,0.000407708,0.0001965165,0.4124253,0.006050239,0.5783782,0.001614418,0.00004790261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3490767,0.001552647,0.5997323,0.00456882,0.0003523279,0.0001855942,0.0003271716,0.0001311343,0.04407324],"genre_scores_gemma":[0.9182614,0.0009091385,0.05522668,0.0003908851,0.0004165365,0.0002773856,0.0003108512,0.0001045173,0.0241026],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002123954,"threshold_uncertainty_score":0.009280801,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01013210858654721,"score_gpt":0.2306446243039116,"score_spread":0.2205125157173644,"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."}}