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Precisely, we let $A$ be real-valued, bounded and elliptic, but not necessary symmetric or continuous, and we assume that $V$ and $W_i$ are real-valued and belong to $L^p$ and $L^{q_i}$, respectively. We prove that if $u$ is a real-valued, bounded and normalized solution to an equation of the form $-\\nabla \\cdot (A \\nabla u + W_1 u) + W_2 \\cdot \\nabla u + V u = 0$ in $B_d$, then un"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1709.09042","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-26T14:29:56Z","cross_cats_sorted":[],"title_canon_sha256":"45a1147669382ea5e8420643596ad0ab35050a1ce9a2cce50fa248e3482324a6","abstract_canon_sha256":"f1609ecccff33d1f5d30fda3bad04242292d4fa2c6fc0ebc6e96693b50a57025"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:47.557485Z","signature_b64":"XwnDDV1tM0n/yQ2HR1KtuF5Lpjjng0oHntI0VTPRCsr9NeyeiS0P9p9ilZ0SD/vw50+/9jJC7vqiNcz5cTrGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a28699423338f3d324167bef5915475be281810a420b787d116140f5926adb4","last_reissued_at":"2026-05-18T00:13:47.556826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:47.556826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Landis' conjecture for general second order elliptic equations with singular lower order terms in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Blair Davey, Jenn-Nan Wang","submitted_at":"2017-09-26T14:29:56Z","abstract_excerpt":"In this article, we study the order of vanishing and a quantitative form of Landis' conjecture in the plane for solutions to second-order elliptic equations with variable coefficients and singular lower order terms. 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