Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899179 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
We consider linear partial differential equations with an additional delay term, which - under spatial discretization - lead to ordinary differential equations with fixed delay of retarded type. This means that the semi-discrete solution gains smoothness over time. For the concept of classical, mild, and weak solutions we analyse whether this effect also takes place in the original system. We show that some systems behave in a neutral way only. As a result, the smoothness of the exact solution remains unchanged instead of gaining smoothness over time.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
R. Altmann, C. Zimmer,