Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs

Author:

Alphonse AmalORCID,Caetano Diogo,Djurdjevac AnaORCID,Elliott Charles M.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference56 articles.

1. A Stefan problem on an evolving surface;Alphonse;Philos. Trans. R. Soc., Math. Phys. Eng. Sci.,2015

2. Well-posedness of a fractional porous medium equation on an evolving surface;Alphonse;Nonlinear Anal.,2016

3. An abstract framework for parabolic PDEs on evolving spaces;Alphonse;Port. Math.,2015

4. On some linear parabolic PDEs on moving hypersurfaces;Alphonse;Interfaces Free Bound.,2015

5. A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity, and convergence to equilibrium;Alphonse;SIAM J. Math. Anal.,2018

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