Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
The Aubin--Lions lemma and its variants play crucial roles for the existence of weak solutions of nonlinear evolutionary PDEs. In this paper, we aim to develop some compactness criteria that are analogies of the Aubin--Lions lemma for the existence of weak solutions to time fractional PDEs. We first define the …