Study in the Hölder spaces of boundary value and transmission problems in a domain with thin layer.
Identifieur interne : 000D19 ( Main/Exploration ); précédent : 000D18; suivant : 000D20Study in the Hölder spaces of boundary value and transmission problems in a domain with thin layer.
Auteurs : Omar Belhamiti [France]Source :
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Abstract
We consider a family (Pδ)δ>0 of boundary value and transmission problems in a domain with thin layer, written in the form of second order abstract differential equation of elliptic type. A new approach for the resolution of (Pδ)δ>0 is presented in this work using the physical concept of impedance. This method is different of the one performing a rescaling in the thin layer, see [Favini A., Labbas R., Lemrabet K. and Maingot S.]. It leads to obtain direct and simplified problems. Where the thin layer effect is completely described by the impedance operator. The techniques employed are primarily based on the functional calculation of Dunford, the semigroups theory, the interpolation and some ideas of work in [R. Labbas, Thesis], [Dore G., Favini A., Labbas R., Lemrabet K. and Maingot S.] and [Favini A., Labbas R., Maingot S., Tanabe H., Yagi A.]. We obtain existence, uniqueness and maximal regularities new results in the Hölder spaces for the fixed and then we study the limit passage when δ→0 of (Pδ)δ>0. This work complete thus what was obtained in the framework Lp, see [Favini A., Labbas R., Lemrabet K. and Maingot S.].
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A new approach for the resolution of (Pδ)δ>0 is presented in this work using the physical concept of impedance. This method is different of the one performing a rescaling in the thin layer, see [Favini A., Labbas R., Lemrabet K. and Maingot S.]. It leads to obtain direct and simplified problems. Where the thin layer effect is completely described by the impedance operator. The techniques employed are primarily based on the functional calculation of Dunford, the semigroups theory, the interpolation and some ideas of work in [R. Labbas, Thesis], [Dore G., Favini A., Labbas R., Lemrabet K. and Maingot S.] and [Favini A., Labbas R., Maingot S., Tanabe H., Yagi A.]. We obtain existence, uniqueness and maximal regularities new results in the Hölder spaces for the fixed and then we study the limit passage when δ→0 of (Pδ)δ>0. This work complete thus what was obtained in the framework Lp, see [Favini A., Labbas R., Lemrabet K. and Maingot S.].</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region><settlement><li>Le Havre</li></settlement><orgName><li>Université du Havre</li></orgName></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Belhamiti, Omar" sort="Belhamiti, Omar" uniqKey="Belhamiti O" first="Omar" last="Belhamiti">Omar Belhamiti</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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