<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01626917</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-20T23:06:44+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model</title>
            <author role="aut">
              <persName>
                <forename type="first">Nina</forename>
                <forename type="middle">N.</forename>
                <surname>Subbotina</surname>
              </persName>
              <email type="md5">96a9f39ca770e192bc23f461cc6f933c</email>
              <email type="domain">uran.ru</email>
              <idno type="idhal" notation="numeric">1021964</idno>
              <idno type="halauthorid" notation="string">1256818-1021964</idno>
              <affiliation ref="#struct-321342"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Lyubov</forename>
                <surname>Shagalova</surname>
              </persName>
              <email type="md5">272cde764d01d13495b992e355375a70</email>
              <email type="domain">imm.uran.ru</email>
              <idno type="idhal" notation="numeric">1021988</idno>
              <idno type="halauthorid" notation="string">1256850-1021988</idno>
              <affiliation ref="#struct-321342"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Hal</forename>
                <surname>Ifip</surname>
              </persName>
              <email type="md5">2073ac78024b6e13f2714db96e9b1e63</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2017-10-31 14:41:28</date>
              <date type="whenModified">2017-10-31 14:44:53</date>
              <date type="whenReleased">2017-10-31 14:44:53</date>
              <date type="whenProduced">2015-06-29</date>
              <date type="whenEndEmbargoed">2019-01-01</date>
              <ref type="file" target="https://inria.hal.science/hal-01626917v1/document">
                <date notBefore="2019-01-01"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01626917v1/file/447583_1_En_44_Chapter.pdf" id="file-1626917-1671624">
                <date notBefore="2019-01-01"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="200187">
                <persName>
                  <forename>Hal</forename>
                  <surname>Ifip</surname>
                </persName>
                <email type="md5">2073ac78024b6e13f2714db96e9b1e63</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01626917</idno>
            <idno type="halUri">https://inria.hal.science/hal-01626917</idno>
            <idno type="halBibtex">subbotina:hal-01626917</idno>
            <idno type="halRefHtml">&lt;i&gt;27th IFIP Conference on System Modeling and Optimization (CSMO)&lt;/i&gt;, Jun 2015, Sophia Antipolis, France. pp.462-471, &lt;a target="_blank" href="https://dx.doi.org/10.1007/978-3-319-55795-3_44"&gt;&amp;#x27E8;10.1007/978-3-319-55795-3_44&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.462-471, &amp;#x27E8;10.1007/978-3-319-55795-3_44&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0 - Attribution<ref corresp="#file-1626917-1671624"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="IFIP">IFIP - International Federation for Information Processing</idno>
            <idno type="stamp" n="IFIP-AICT" corresp="IFIP">IFIP Advances in Information and Communication Technology</idno>
            <idno type="stamp" n="IFIP-TC" corresp="IFIP">IFIP Technical Committees </idno>
            <idno type="stamp" n="IFIP-TC7" corresp="IFIP-TC">TC 7: System Modeling and Optimization</idno>
            <idno type="stamp" n="IFIP-CSMO" corresp="IFIP">CSMO: Conference on System Modelling and Optimization</idno>
            <idno type="stamp" n="IFIP-AICT-494" corresp="IFIP-AICT">System Modeling and Optimization</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Nina</forename>
                    <forename type="middle">N.</forename>
                    <surname>Subbotina</surname>
                  </persName>
                  <email type="md5">96a9f39ca770e192bc23f461cc6f933c</email>
                  <email type="domain">uran.ru</email>
                  <idno type="idhal" notation="numeric">1021964</idno>
                  <idno type="halauthorid" notation="string">1256818-1021964</idno>
                  <affiliation ref="#struct-321342"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Lyubov</forename>
                    <surname>Shagalova</surname>
                  </persName>
                  <email type="md5">272cde764d01d13495b992e355375a70</email>
                  <email type="domain">imm.uran.ru</email>
                  <idno type="idhal" notation="numeric">1021988</idno>
                  <idno type="halauthorid" notation="string">1256850-1021988</idno>
                  <affiliation ref="#struct-321342"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">IFIP Advances in Information and Communication Technology</title>
                <meeting>
                  <title>27th IFIP Conference on System Modeling and Optimization (CSMO)</title>
                  <date type="start">2015-06-29</date>
                  <date type="end">2015-07-03</date>
                  <settlement>Sophia Antipolis</settlement>
                  <country key="FR">France</country>
                </meeting>
                <editor>Lorena Bociu</editor>
                <editor>Jean-Antoine Désidéri</editor>
                <editor>Abderrahmane Habbal</editor>
                <imprint>
                  <publisher>Springer International Publishing</publisher>
                  <biblScope unit="serie">System Modeling and Optimization</biblScope>
                  <biblScope unit="volume">AICT-494</biblScope>
                  <biblScope unit="pp">462-471</biblScope>
                  <date type="datePub">2016</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/978-3-319-55795-3_44</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">State constraints</term>
                <term xml:lang="en">Viscosity solutions</term>
                <term xml:lang="en">Generalized solutions</term>
                <term xml:lang="en">Method of characteristics</term>
                <term xml:lang="en">Hamilton – Jacobi equation</term>
              </keywords>
              <classCode scheme="halDomain" n="info">Computer Science [cs]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>A 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.</p>
            </abstract>
            <particDesc>
              <org type="consortium">TC 7</org>
            </particDesc>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-321342" status="VALID">
          <orgName>Ural Branch of Russian Academy of Sciences</orgName>
          <orgName type="acronym">UB RAS</orgName>
          <desc>
            <address>
              <country key="RU"/>
            </address>
            <ref type="url">http://www.uran.ru/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>