Abstract Volterra integrodifferential equations with applications to parabolic models with memory

作者：de Andrade Bruno; Viana Arlucio

来源：Mathematische Annalen, 2017, 369(3-4): 1131-1175.

DOI：10.1007/s00208-016-1469-z

In this paper we are concerned with local existence, regularity and continuous dependence upon the initial data of -regular mild solutions for the abstract integrodifferential equation (1, 2). We also present a result on unique continuation and a blow-up alternative for an -regular mild solution of (1, 2). Finally, we apply our results to three interesting models: Navier-Stokes equations with memory, diffusion equations with memory and a strongly damped plate equation with memory.

• 出版日期2017-12