On Integro-Differential Inclusions with Operator-valued Kernels
Analysis of PDEs
2015-06-17 v1 Functional Analysis
Abstract
We study integro-differential inclusions in Hilbert spaces with operator-valued kernels and give sufficient conditions for the well-posedness. We show that several types of integro-differential equations and inclusions are covered by the class of evolutionary inclusions and we therefore give criteria for the well-posedness within this framework. As an example we apply our results to the equations of visco-elasticity and to a class of nonlinear integro-differential inclusions describing Phase Transition phenomena in materials with memory.
Keywords
Cite
@article{arxiv.1308.4782,
title = {On Integro-Differential Inclusions with Operator-valued Kernels},
author = {Sascha Trostorff},
journal= {arXiv preprint arXiv:1308.4782},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1210.1728