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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2018

INVARIANCE FOR QUASI-DISSIPATIVE SYSTEMS IN BANACH SPACES

Résumé

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.
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Dates et versions

hal-02126105 , version 1 (10-05-2019)

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  • HAL Id : hal-02126105 , version 1

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P Cannarsa, G da Prato, Hélène Frankowska. INVARIANCE FOR QUASI-DISSIPATIVE SYSTEMS IN BANACH SPACES. Journal of Mathematical Analysis and Applications, 2018, 457, pp.1173--1187. ⟨hal-02126105⟩
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