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Fix a compact Riemannian manifold $M$ (leaving the metric implicit). What I'd like to know is if the corresponding Hodge decomposition of smooth $n$-forms $$ \Omega^n(M) \simeq \mathcal{H}^n(M)\oplus ...

The classical Lumer-Phillips theorem characterizes the generators of contraction semigroups. I am looking for a similar characterization or at least a sufficient condition for a family of unbounded, ...

I'm working on some papers which use Caputo fractional evolution equation (see on Wikipedia) as application for thier main result: For example: $$\left\{\begin{matrix} ^CD^{\sigma}_tx(t)+Ax(t)=&...

I've recently come across many results discussing the differentiation of the Moreau envelope defined by \begin{equation} e(f)(x)\triangleq \min_{h \in H} \|h-x\|^2 + f(h), \end{equation} where $f$ is ...