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We prove that for a class of initial data $u_0 \\in H^1(\\mathbb{R}^2)$, the solution $u_{\\omega}$ converges, as $|\\omega|$ tends to infinity to the solution $U$ of the limiting equation $i\\partial_t U+\\Delta U= I(\\theta)\\big(e^{4\\pi|U|^2}-1\\big)$ with the same initial data, where $I(\\theta)$ is the average of $\\theta$."},"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":"1812.06005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-14T16:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"f9b7eb7b6f484c35a8912b048d039fd8e4e81c862a538f24b7286eeb1054cb60","abstract_canon_sha256":"4965c92acc8399a553fc03ae0acf093737e359f1ef59e07d34c67d25e786e6eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:15.800144Z","signature_b64":"pGvUD6/08Dl1+9kClWWMxcjWQRR1kkYsFhMzhsKlG4Y5VVZ9qXwopPj+1wUvELtdSLbf2z3VpkTVtFmbd7TXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a1fc1813976324a9f8243b594aab05f91ebb35105355be46fd6fb31d5c3c877","last_reissued_at":"2026-05-17T23:58:15.799740Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:15.799740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A 2D Schrodinger equation with time-oscillating exponential nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Abdelwahab Bensouilah, Dhouha Draouil, Mohamed Majdoub","submitted_at":"2018-12-14T16:20:41Z","abstract_excerpt":"This paper deals with the 2-D Schr\\\"odinger equation with time-oscillating exponential nonlinearity $i\\partial_t u+\\Delta u= \\theta(\\omega t)\\big(e^{4\\pi|u|^2}-1\\big)$, where $\\theta$ is a periodic $C^1$-function. 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