Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774392 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
In a separable Banach space E, we study the invariance of a closed set K under the action of the evolution equation associated with a maximal dissipative linear operator A perturbed by a quasi-dissipative continuous term B. Using the distance to the closed set, we give a general necessary and sufficient condition for the invariance of K. Then, we apply our result to several examples of partial differential equations in Banach and Hilbert spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
P. Cannarsa, G. Da Prato, H. Frankowska,