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<identifier>oai:HAL:hal-01529519v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:CEREGMIA</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>On the Well-posedness of Some generalized Characteristic Cauchy Problems </title>
<creator>Marti, Jean-André</creator>
<creator>Devoue, Victor</creator>
<creator>Delcroix, Antoine</creator>
<creator>Emmanuel, Allaud</creator>
<creator>Hans, Vernaeve</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Ghent University ; Ghent University [Belgium] (UGENT)</contributor>
<description>International audience</description>
<source>ISSN: 0973-5348</source>
<source>EISSN: 1760-6101</source>
<source>Mathematical Modelling of Natural Phenomena</source>
<publisher>EDP Sciences</publisher>
<identifier>hal-01529519</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01529519</identifier>
<source>https://hal.univ-antilles.fr/hal-01529519</source>
<source>Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11 (2), pp.89-99. 〈10.1051/mmnp/201611207〉</source>
<identifier>DOI : 10.1051/mmnp/201611207</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1051/mmnp/201611207</relation>
<language>en</language>
<subject lang=en> transport equation</subject>
<subject lang=en> regularization of data</subject>
<subject lang=en> regularisation of problems</subject>
<subject lang=en> nonlinear problems</subject>
<subject lang=en> nonlinear generalized functions</subject>
<subject lang=en> distributions</subject>
<subject lang=en>characteristic problems</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>By means of convenient regularization for an ill posed Cauchy problem, we define an associated generalized problem and discuss the conditions for the solvability of it. To illustrate this, starting from the semilinear unidirectional wave equation with data given on a characteristic curve, we show existence and uniqueness of the solution</description>
<date>2016</date>
</dc>
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