We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
Si dà un risultato di esistenza e unicità per un'equazione di Hamilton-Jacobi in spazi di Hilbert.
@article{RLINA_1988_8_82_4_645_0, author = {Piermarco Cannarsa and Giuseppe Da Prato}, title = {An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {82}, year = {1988}, pages = {645-649}, zbl = {0735.49021}, mrnumber = {1139811}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1988_8_82_4_645_0} }
Cannarsa, Piermarco; Da Prato, Giuseppe. An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 82 (1988) pp. 645-649. http://gdmltest.u-ga.fr/item/RLINA_1988_8_82_4_645_0/
[1] | MR 742624 | Zbl 0574.49005
(1984) - Optimal Control of Variational Inequalities, Pitman.[2] Hamilton-Jacobi equations and non linear control problems, J. Math. Anal. Appl. 133, 151-162. | Zbl 0667.49017
(1988) -[3] | Zbl 0508.34001
and (1982) - Hamilton-Jacobi equations in Hilbert spaces, Pitman.[4] Hamilton-Jacobi equations in infinite dimension I. Uniqueness of Viscosity Solutions, J. Funct. Anal. 62, 379-396. | MR 794776 | Zbl 0627.49013
and (1985) -[5] Hamilton-Jacobi equations in infinite dimension. Parts II. Existence of Viscosity Solutions, J. Funct. Anal. 65, 368-405. | MR 826434 | Zbl 0639.49021
and (1986) -[6] Hamilton-Jacobi equations in infinite dimensions. III. J. Funct. Anal. 68, 368-405. | MR 852660 | Zbl 0739.49015
and (1986) -[7] Solutions de viscosité pour les equations de Hamilton-Jacobi en dimension infinie intervenant dans le contrôle optimal des problèmes d'évolution, C. R. Acad. Sci. Paris, 305, 233-236. | MR 907950 | Zbl 0588.35018
and (1987) - (1982) - Generalized solutions of Hamilton-Jacobi equations, Pitman.