{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T13:03:11Z","timestamp":1773406991423,"version":"3.50.1"},"reference-count":5,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We give a rough statement of the main result. Let <jats:italic>D<\/jats:italic> be a compact subset of \u211d<jats:sup>3<\/jats:sup>\u00d7 \u211d. The propagation <jats:italic>u(x, y, z, t<\/jats:italic>) of a wave can be noncomputable <jats:italic>in any neighborhood<\/jats:italic> of any point of <jats:italic>D<\/jats:italic> even though the initial conditions which determine the wave propagation uniquely are computable. A precise statement of the result appears below.<\/jats:p>","DOI":"10.1002\/malq.19970430406","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T01:28:24Z","timestamp":1180488504000},"page":"499-509","source":"Crossref","is-referenced-by-count":35,"title":["The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable"],"prefix":"10.1002","volume":"43","author":[{"given":"Marian B.","family":"Pour\u2010El","sequence":"first","affiliation":[]},{"given":"Ning","family":"Zhong","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00484949"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1029000631"},{"key":"e_1_2_1_4_2","volume-title":"Partial Differential Equations","author":"Petrovskii I. G.","year":"1967"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(81)90001-3"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-21717-7"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430406","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430406","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T02:08:23Z","timestamp":1698458903000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430406"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":5,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430406"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430406","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}