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Cannarsa, P.; Da Prato, G.; Frankowska, H.
Journal of mathematical analysis and applications, 01/2018, Letnik: 457, Številka: 2Journal Article
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.
