Maximal $L_{p} $-regularity for a second-order differential equation with unbounded intermediate coefficient

We consider the following equation \[-y''+r\left(x\right)y'+q\left(x\right)y=f(x), \] where the intermediate coefficient $r$ is not controlled by $q$ and it is can be strong oscillate. We give the conditions of well-posedness in $L_{p} \left(-\infty ,\, +\infty \right)$ of this equa...

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Bibliographic Details
Main Author: Kordan Ospanov
Format: Article
Language:English
Published: University of Szeged 2019-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7311