Global existence for the Hamilton-Jacobi equations in Hilbert space

V. Barbu; G. Da Prato

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1981)

  • Volume: 8, Issue: 2, page 257-284
  • ISSN: 0391-173X

How to cite

top

Barbu, V., and Da Prato, G.. "Global existence for the Hamilton-Jacobi equations in Hilbert space." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 8.2 (1981): 257-284. <http://eudml.org/doc/83858>.

@article{Barbu1981,
author = {Barbu, V., Da Prato, G.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {global existence; Hamilton-Jacobi equation; infinitesimal generator; C0- semigroup of contractions; approximating process},
language = {eng},
number = {2},
pages = {257-284},
publisher = {Scuola normale superiore},
title = {Global existence for the Hamilton-Jacobi equations in Hilbert space},
url = {http://eudml.org/doc/83858},
volume = {8},
year = {1981},
}

TY - JOUR
AU - Barbu, V.
AU - Da Prato, G.
TI - Global existence for the Hamilton-Jacobi equations in Hilbert space
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1981
PB - Scuola normale superiore
VL - 8
IS - 2
SP - 257
EP - 284
LA - eng
KW - global existence; Hamilton-Jacobi equation; infinitesimal generator; C0- semigroup of contractions; approximating process
UR - http://eudml.org/doc/83858
ER -

References

top
  1. [1] S. Aizawa, A semigroup treatment of the Hamilton-Jacobi equation in one space variable, Hiroshima Math. J., 3 (1973), pp. 367-386. Zbl0274.35009MR346300
  2. [2] V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, 1976. Zbl0328.47035MR390843
  3. [3] V. Barbu - TH. Precupanu, Convexity and Optimization in Banach Spaces, Sijthoff and Noordhoff, 1978. Zbl0379.49010MR513634
  4. [4] V. Barbu - G. Da Prato, Global existence for nonlinear operator equation arising in synthesis of optimal control, J. Nonlinear Analysis, 5 (1980). Zbl0452.49015MR591308
  5. [5] V. Barbu - G. Da Prato, Local existence for a nonlinear operator equation arising in synthesis of optimal control, Numerical Functional Analysis and Optimization, Vol. 1, no. 6 (1979), pp. 665-677. Zbl0445.49027MR552246
  6. [6] PH. Bénilan, Equations d'évolution dans un espace de Banach quelconque et applications, Thése Orsay, 1972. 
  7. [7] B.C. Burch, A semigroup treatment of the Hamilton-Jacobi equations in several space variables, J. Diff. Equations, 23 (1977), pp. 102-124. Zbl0333.35016MR440183
  8. [8] B.C. Burch - J.A. Goldstein, Some boundary value problems for the Hamilton-Jacobi equations, Hiroshima Math. J., 8 (1978), pp. 223-233. Zbl0403.35037MR481442
  9. [9] H. Brézis, Operateurs maximaux monotones, North-Holland, Amsterdam, 1973. 
  10. [10] M.C. Crandall, The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math., 12 (1972), pp. 108-132. Zbl0246.35018MR316925
  11. [11] M.C. Crandall, An introduction to evolution governed by accretive operators, Dynamical Systems, vol. 1, Academic Press, New York, 1976, pp. 131-165. Zbl0339.35049MR636953
  12. [12] G. Da Prato, Quelques résultats d'existence, unicité et regularité pour un problème de la théorie du contrôle, J. Math. Pures Appl., 52 (1973), pp. 353-375. Zbl0289.93027
  13. [13] A. Douglis, Solution in the large for multi-dimensional non linear partial differential equations of first order, Ann. Inst. Fourier, 15 (1965), pp. 1-35. Zbl0137.29001MR199542
  14. [14] W.H. Fleming, The Cauchy problem for a nonlinear first order partial differential equation, J. Diff. Equations, 5 (1969), pp. 515-530. Zbl0172.13901MR235269
  15. [15] J.L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin, Heidelberg, New York, 1971. Zbl0203.09001MR271512
  16. [16] S.N. Kruzkov, The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order with several variables., Soviet. Math. Dokl.,5 (1964), pp. 493-496. Zbl0138.34702

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.