Existence of nonnegative solutions for a fractional parabolic equation in the whole space

• Datum: 2019
• Hauptverfasser: Kenzizi, T., Кензізі, Т.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1498
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study existence of nonnegative solutions for a parabolic problem $\dfrac{\partial u}{\partial t} = - (-\triangle)^{\frac{\alpha}{2}}u + \dfrac{c}{|x|^{\alpha}}u$ in $\mathbb{R}^{d}\times (0, T).$ Here $0