An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces

Piermarco Cannarsa; Giuseppe Da Prato

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1988)

  • Volume: 82, Issue: 4, page 645-649
  • ISSN: 0392-7881

Abstract

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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.

How to cite

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Cannarsa, Piermarco, and 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 82.4 (1988): 645-649. <http://eudml.org/doc/289148>.

@article{Cannarsa1988,
abstract = {We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.},
author = {Cannarsa, Piermarco, Da Prato, Giuseppe},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Hamilton-Jacobi equations; Viscosity solutions; Optimal control},
language = {eng},
month = {12},
number = {4},
pages = {645-649},
publisher = {Accademia Nazionale dei Lincei},
title = {An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces},
url = {http://eudml.org/doc/289148},
volume = {82},
year = {1988},
}

TY - JOUR
AU - Cannarsa, Piermarco
AU - Da Prato, Giuseppe
TI - An existence and uniqueness result for Hamilton-Jacobi equations in Hilbert spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1988/12//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 4
SP - 645
EP - 649
AB - We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
LA - eng
KW - Hamilton-Jacobi equations; Viscosity solutions; Optimal control
UR - http://eudml.org/doc/289148
ER -

References

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  1. BARBU, V. (1984) - Optimal Control of Variational Inequalities, Pitman. Zbl0574.49005MR742624
  2. BARBU, V. (1988) - Hamilton-Jacobi equations and non linear control problems, J. Math. Anal. Appl.133, 151-162. Zbl0667.49017
  3. BARBU, V. and DA PRATO, G. (1982) - Hamilton-Jacobi equations in Hilbert spaces, Pitman. Zbl0508.34001
  4. CRANDALL, M.G. and LIONS, P.L. (1985) - Hamilton-Jacobi equations in infinite dimension I. Uniqueness of Viscosity Solutions, J. Funct. Anal.62, 379-396. Zbl0627.49013MR794776DOI10.1016/0022-1236(85)90011-4
  5. CRANDALL, M.G. and LIONS, P.L. (1986) - Hamilton-Jacobi equations in infinite dimension. Parts II. Existence of Viscosity Solutions, J. Funct. Anal.65, 368-405. Zbl0639.49021MR826434DOI10.1016/0022-1236(86)90026-1
  6. CRANDALL, M.G. and LIONS, P.L. (1986) - Hamilton-Jacobi equations in infinite dimensions. III. J. Funct. Anal.68, 368-405. Zbl0739.49015MR852660DOI10.1016/0022-1236(86)90005-4
  7. CRANDALL, M.G. and LIONS, P.L. (1987) - 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. Zbl0588.35018MR907950
  8. LIONS, P.L. (1982) - Generalized solutions of Hamilton-Jacobi equations, Pitman. Zbl0497.35001MR667669

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