{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T15:40:42Z","timestamp":1758123642534,"version":"3.37.3"},"reference-count":43,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2023,9,8]],"date-time":"2023-09-08T00:00:00Z","timestamp":1694131200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,12,24]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we study null approximate controllability of degenerate singular parabolic equations under the action of an impulsive control. To this aim, we prove an observation estimate at one point in time for the problems associated to the operators: $$ \\begin{align*}&amp; u_{t} -(x^{\\alpha} u_{x})_{x} - \\dfrac{\\mu}{x^{\\beta}} u = 0, \\qquad x \\in \\left(0, 1\\right), \\end{align*} $$ where the parameters $\\alpha \\geq 0$, $\\beta , \\mu \\in \\mathbb{R}$ satisfy suitable assumptions. The method of proof combines both the logarithmic convexity and the Carleman commutator.<\/jats:p>","DOI":"10.1093\/imamci\/dnad025","type":"journal-article","created":{"date-parts":[[2023,9,11]],"date-time":"2023-09-11T13:23:49Z","timestamp":1694438629000},"page":"593-617","source":"Crossref","is-referenced-by-count":3,"title":["Impulse controllability for degenerate singular parabolic equations via logarithmic convexity method"],"prefix":"10.1093","volume":"40","author":[{"given":"Hamid","family":"Maarouf","sequence":"first","affiliation":[{"name":"Computer Science Department , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco"},{"name":"Cadi Ayyad University , Ecole Sup\u00e9rieure de Technologie, , Route Dar Si A\u00efssa, 46000 Safi , Morocco"}]},{"given":"Lahcen","family":"Maniar","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco"},{"name":"Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco"}]},{"given":"Ilham","family":"Ouelddris","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco"},{"name":"Cadi Ayyad University , Faculty of Sciences Semlalia, , Bd Prince Moulay Abdellah, 40000 Marrakesh , Morocco"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9290-9681","authenticated-orcid":false,"given":"Jawad","family":"Salhi","sequence":"additional","affiliation":[{"name":"Department of Mathematics , FST Errachidia, , MAIS Lab., MAMCS Group, P.O. 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