A parabolic equation for the fractional Laplacian in the whole space: blow-up of nonnegative solutions
Abstract
UDC 517.9 The main aim of the present paper is to investigate under what conditions the nonnegative solutions blow-up for the parabolic problem $\dfrac{\partial u}{\partial t} = - (-\triangle)^{\frac{\alpha}{2}}u + \dfrac{c}{|x|^{\alpha}}u$ in $\mathbb{R}^{d}\times (0 , T),$ where $0
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 11
- Pages
- 1502–1518
- Publication date
- 9 February 2026
- Language
- EN