Non-existence of Global Solutions to a System of Fractional Diffusion Equations
We present non-existence results for a system of non-linear parabolic equations with non-local diffusions posed either in \(\mathbb{R}^{N} \) or in a bounded domain. Our method of proof is based on the test function method with a judicious choice of the test function.
systems of reaction-diffusion equations nonlocal operators fractional calculus blow-up solutions 35a01 35a23 35r11 35r45