Bibliographic Details
| Title: |
Invariance for quasi-dissipative systems in Banach spaces. |
| Authors: |
Cannarsa, P.1 cannarsa@mat.uniroma2.it, Da Prato, G.2 daprato@sns.it, Frankowska, H.3 helene.frankowska@imj-prg.fr |
| Source: |
Journal of Mathematical Analysis & Applications. Jan2018, Vol. 457 Issue 2, p1173-1187. 15p. |
| Subjects: |
Energy dissipation, Mathematical symmetry, Banach spaces, Numerical solutions to evolution equations, Maximal functions, Continuous functions |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
