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Blow-up for a double nonlocal heat equation

Blow-up for a double nonlocal heat equation

We study the blow-up question for the diffusion equation involving a nonlocal derivative in time defined by convolution with a nonnegative and nonincreasing kernel, and a nonlocal operator in space driven by a nonnegative radial L\'evy kernel. We show that the existence of solutions that blow up in finite time …