{"id":"W4396814370","doi":"10.1017/fms.2025.10095","title":"Two uniqueness results in the inverse boundary value problem for the weighted <i>p</i> -Laplace equation","year":2025,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"National Science and Technology Council","keywords":"Uniqueness; Laplace transform; Mathematics; Boundary value problem; Laplace's equation; Inverse; Mathematical analysis; Inverse Laplace transform; Boundary values; Uniqueness theorem for Poisson's equation; Value (mathematics); Inverse problem; Green's function for the three-variable Laplace equation; Applied mathematics; Statistics; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.01016277,0.0006720693,0.001205185,0.0002956773,0.0002932792,0.0001626431,0.002400844,0.0005415757,0.00001811082],"category_scores_gemma":[0.005636835,0.0004208945,0.0005220054,0.0006982674,0.0003956175,0.0001206788,0.00121593,0.001285685,0.000006367747],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002666811,"about_ca_system_score_gemma":0.0006248266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002100657,"about_ca_topic_score_gemma":0.000293654,"domain_scores_codex":[0.9942316,0.0009934691,0.002361634,0.0007312661,0.0009886528,0.0006933718],"domain_scores_gemma":[0.9726762,0.02240992,0.001994708,0.002428021,0.0004268098,0.00006433717],"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":[0.0002988379,0.001172275,0.00001877257,0.01133134,0.0004274031,0.000004946015,0.01478173,0.004837708,0.0001482416,0.9193512,0.04427809,0.003349415],"study_design_scores_gemma":[0.001426874,0.00009505732,0.000001039875,0.002051234,0.0003789282,0.000005260713,0.002725501,0.1256994,0.001712066,0.8581936,0.00733129,0.000379673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001153592,0.000368567,0.9555897,0.0108196,0.001173256,0.01034854,0.0007306536,0.00019542,0.01962064],"genre_scores_gemma":[0.003421126,0.000133307,0.9919842,0.0005887641,0.0001248395,0.00218069,0.0000907015,0.00009951343,0.001376879],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1208617,"threshold_uncertainty_score":0.9998243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09368004226598799,"score_gpt":0.3717888058717343,"score_spread":0.2781087636057463,"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."}}