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dc.contributor.authorSubbotina, N.en
dc.contributor.authorShagalova, L.en
dc.date.accessioned2021-08-31T15:01:59Z-
dc.date.available2021-08-31T15:01:59Z-
dc.date.issued2016-
dc.identifier.citationSubbotina N. Generalized solutions of Hamilton-Jacobi equation to a molecular genetic model / N. Subbotina, L. Shagalova. — DOI 10.1007/978-3-319-55795-3_44 // IFIP Advances in Information and Communication Technology. — 2016. — Vol. 494. — P. 462-471.en
dc.identifier.isbn9783319557946-
dc.identifier.issn18684238-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Green3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85018688609&doi=10.1007%2f978-3-319-55795-3_44&partnerID=40&md5=1eef3a4c7bd278e48b73ca491d12cd11
dc.identifier.otherhttps://hal.inria.fr/hal-01626917/file/447583_1_En_44_Chapter.pdfm
dc.identifier.urihttp://elar.urfu.ru/handle/10995/102130-
dc.description.abstractA boundary value problem with state constraints is under consideration for a nonlinear noncoercive Hamilton-Jacobi equation. The problem arises in molecular biology for the Crow-Kimura model of genetic evolution. A new notion of continuous generalized solution to the problem is suggested. Connections with viscosity and minimax generalized solutions are discussed. In this paper the problem is studied for the case of additional requirements to structure of solutions. Constructions of the solutions with prescribed properties are provided and justified via dynamic programming and calculus of variations. Results of simulations are exposed. © IFIP International Federation for Information Processing 2016.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherSpringer New York LLCen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceIFIP Advances in Information and Communication Technology2
dc.sourceIFIP Advances in Information and Communication Technologyen
dc.subjectGENERALIZED SOLUTIONSen
dc.subjectHAMILTON-JACOBI EQUATIONen
dc.subjectMETHOD OF CHARACTERISTICSen
dc.subjectSTATE CONSTRAINTSen
dc.subjectVISCOSITY SOLUTIONSen
dc.subjectBIOLOGYen
dc.subjectBOUNDARY VALUE PROBLEMSen
dc.subjectCALCULATIONSen
dc.subjectGENETIC PROGRAMMINGen
dc.subjectMECHANICSen
dc.subjectMOLECULAR BIOLOGYen
dc.subjectNONLINEAR EQUATIONSen
dc.subjectOPTIMIZATIONen
dc.subjectVISCOSITYen
dc.subjectGENERALIZED SOLUTIONen
dc.subjectHAMILTON - JACOBI EQUATIONSen
dc.subjectMETHOD OF CHARACTERISTICSen
dc.subjectSTATE CONSTRAINTSen
dc.subjectVISCOSITY SOLUTIONSen
dc.subjectDYNAMIC PROGRAMMINGen
dc.titleGeneralized solutions of Hamilton-Jacobi equation to a molecular genetic modelen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1007/978-3-319-55795-3_44-
dc.identifier.scopus85018688609-
local.contributor.employeeSubbotina, N., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russian Federation, Ural Federal University named after the first President of Russia B.N. Yeltsin, Ekaterinburg, Russian Federation
local.contributor.employeeShagalova, L., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russian Federation
local.description.firstpage462-
local.description.lastpage471-
local.volume494-
local.contributor.departmentKrasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russian Federation
local.contributor.departmentUral Federal University named after the first President of Russia B.N. Yeltsin, Ekaterinburg, Russian Federation
local.identifier.pure1813722-
local.identifier.pureac6e5a60-36fb-4215-a00c-7c8bd8aff85auuid
local.identifier.eid2-s2.0-85018688609-
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