Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity

Jiří Benedikt, Vladimir Bobkov, Raj Narayan Dhara +1

We show that the parabolic equation $u_t+(-\Delta {)}^{s}u=q(x)|u{|}^{\alpha -1}u$ posed in a time-space cylinder $(0,T)\times {\mathbb{R}}^N$ and coupled with zero initial condition and zero…