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On Critical Exponents for Weak Solutions of the Cauchy Problem for a (2+1)-Dimensional Nonlinear Composite-Type Equation with Gradient Nonlinearity

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dc.contributor.authorKorpusov, M.O.
dc.contributor.authorMatveeva, A.K.
dc.contributor.authorМатвеева, Александра Константиновна
dc.date.accessioned2024-12-27T09:46:19Z
dc.date.available2024-12-27T09:46:19Z
dc.date.issued2023
dc.description.abstractThe Cauchy problem for a model nonlinear equation with gradient nonlinearity is considered. We prove the existence of two critical exponents, q(1) = 2 and q(2) = 3, such that this problem has no local-in-time weak (in some sense) solution for 1 < q <= q(1), while such a solution exists for q > q(1), but, for q(1) < q <= q(2), there is no global-in-time weak solution.
dc.format.extentС. 1070-1084
dc.identifier.citationKorpusov, M.O. On Critical Exponents for Weak Solutions of the Cauchy Problem for a (2+1)-Dimensional Nonlinear Composite-Type Equation with Gradient Nonlinearity / Korpusov, M.O., Matveeva, A.K. // Computational Mathematics and Mathematical Physics. - 2023. - 63. - № 6. - P. 1070-1084. - 10.1134/S096554252306012X
dc.identifier.doi10.1134/S096554252306012X
dc.identifier.urihttps://www.doi.org/10.1134/S096554252306012X
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85175107379&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:001037196000013
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/29250
dc.relation.ispartofComputational Mathematics and Mathematical Physics
dc.titleOn Critical Exponents for Weak Solutions of the Cauchy Problem for a (2+1)-Dimensional Nonlinear Composite-Type Equation with Gradient Nonlinearity
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue6
oaire.citation.volume63
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