<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-28T14:58:58Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/60555" metadataPrefix="marc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/60555</identifier><datestamp>2023-09-07T20:05:31Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_21</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
   <leader>00925njm 22002777a 4500</leader>
   <datafield ind2=" " ind1=" " tag="042">
      <subfield code="a">dc</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="720">
      <subfield code="a">Díaz Díaz, Jesús Ildefonso</subfield>
      <subfield code="e">author</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="720">
      <subfield code="a">Lions, J.L.</subfield>
      <subfield code="e">author</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="260">
      <subfield code="c">1999</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="520">
      <subfield code="a">We consider in this paper distributed systems governed by parabolic evolution equations which can blow up in finite time and which are controlled by initial conditions. We study here the following question : Can one choose the initial condition in such a way that the solution does not blow up before a given time T and which is, at time T, as close as we wish from a given state ? Some general results along these lines are presented here for semilinear second order parabolic equations as well as for a non local nonlinear problem. We also give some results proving that "the more the system will blow up" the "cheaper" it will be the control.</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">3-7643-6151-4</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">https://hdl.handle.net/20.500.14352/60555</subfield>
   </datafield>
   <datafield ind1="8" ind2=" " tag="024">
      <subfield code="a">http://books.google.es/books?hl=es&amp;lr=&amp;id=GzApz9i0T9MC&amp;oi=fnd&amp;pg=PA115&amp;ots=sq6YGrNEcJ&amp;sig=d1UCD0OJQIC0sywJ3s1dm4NRZs4#v=onepage&amp;q&amp;f=false</subfield>
   </datafield>
   <datafield ind2="0" ind1="0" tag="245">
      <subfield code="a">On the approximate controllability for some explosive parabolic problems</subfield>
   </datafield>
</record></metadata></record></GetRecord></OAI-PMH>