Geodesic
On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 3, Tome 237 (2024), pp. 3-9

Voir la notice de l'article provenant de la source Math-Net.Ru

In a separable Hilbert space, a parabolic equation with a special time-weighted integral condition is considered. Conditions are obtained under which the solution to the problem is more smooth than a weak solution, the existence and uniqueness of which was proved earlier.
Mots-clés : parabolic equation, nonlocal-in-time condition
Keywords: smooth solvability, generalized solvability 
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     title = {On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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A. S. Bondarev; A. A. Petrova; O. M. Pirovskikh. On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 3, Tome 237 (2024), pp. 3-9. http://geodesic.mathdoc.fr/item/INTO_2024_237_a0/