<?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-01626916</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="2026-05-21T00:05:56+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Cahn–Hilliard Approach to Some Degenerate Parabolic Equations with Dynamic Boundary Conditions</title>
            <author role="aut">
              <persName>
                <forename type="first">Takeshi</forename>
                <surname>Fukao</surname>
              </persName>
              <email type="md5">d90cc2e16b0769d530935f60929707f0</email>
              <email type="domain">kyokyo-u.ac.jp</email>
              <idno type="idhal" notation="numeric">1021987</idno>
              <idno type="halauthorid" notation="string">1256849-1021987</idno>
              <affiliation ref="#struct-521024"/>
            </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 14:41:26</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-01626916v1/document">
                <date notBefore="2019-01-01"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01626916v1/file/447583_1_En_26_Chapter.pdf" id="file-1626916-1671623">
                <date notBefore="2019-01-01"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/1608.07913"/>
            </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-01626916</idno>
            <idno type="halUri">https://inria.hal.science/hal-01626916</idno>
            <idno type="halBibtex">fukao:hal-01626916</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.282-291, &lt;a target="_blank" href="https://dx.doi.org/10.1007/978-3-319-55795-3_26"&gt;&amp;#x27E8;10.1007/978-3-319-55795-3_26&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.282-291, &amp;#x27E8;10.1007/978-3-319-55795-3_26&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0 - Attribution<ref corresp="#file-1626916-1671623"/></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">Cahn–Hilliard Approach to Some Degenerate Parabolic Equations with Dynamic Boundary Conditions</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Takeshi</forename>
                    <surname>Fukao</surname>
                  </persName>
                  <email type="md5">d90cc2e16b0769d530935f60929707f0</email>
                  <email type="domain">kyokyo-u.ac.jp</email>
                  <idno type="idhal" notation="numeric">1021987</idno>
                  <idno type="halauthorid" notation="string">1256849-1021987</idno>
                  <affiliation ref="#struct-521024"/>
                </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">282-291</biblScope>
                  <date type="datePub">2016</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/978-3-319-55795-3_26</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">47J35</term>
                <term xml:lang="en">35K30</term>
                <term xml:lang="en">35K65</term>
                <term xml:lang="en">Cahn–Hilliard system</term>
                <term xml:lang="en">Weak solution</term>
                <term xml:lang="en">Dynamic boundary condition</term>
                <term xml:lang="en">Degenerate parabolic 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>In this paper the well-posedness of some degenerate parabolic equations with a dynamic boundary condition is considered. To characterize the target degenerate parabolic equation from the Cahn–Hilliard system, the nonlinear term coming from the convex part of the double-well potential is chosen using a suitable maximal monotone graph. The main topic of this paper is the existence problem under an assumption for this maximal monotone graph for treating a wider class. The existence of a weak solution is proved.</p>
            </abstract>
            <particDesc>
              <org type="consortium">TC 7</org>
            </particDesc>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-521024" status="VALID">
          <orgName>Kyoto University of Education</orgName>
          <desc>
            <address>
              <country key="JP"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>