메뉴 건너뛰기




Volumn 61, Issue , 2005, Pages 125-136

Duality principles for fully nonlinear elliptic equations

Author keywords

Convolution; Mete; Radon

Indexed keywords


EID: 85038573877     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7317-2_10     Document Type: Chapter
Times cited : (21)

References (22)
  • 1
    • 85038577138 scopus 로고
    • Caffarelli and Xavier Cabré. Fully nonlinear elliptic equations
    • [CC95] Luis A. Caffarelli and Xavier Cabré. Fully nonlinear elliptic equations. American Mathematical Society, Providence, RI, 1995.
    • (1995) American Mathematical Society, Providence, RI
    • Luis, A.1
  • 2
    • 0032412399 scopus 로고    scopus 로고
    • Lagrangian graphs, minimizing measures and Mañé’s critical values
    • [CIPP98] G. Contreras, R. Iturriaga, G.P. Paternain, and M. Paternain. Lagrangian graphs, minimizing measures and Mañé’s critical values. Geom. Funct. Anal., 8(5):788–809, 1998.
    • (1998) Geom. Funct. Anal. , vol.8 , Issue.5 , pp. 788-809
    • Contreras, G.1    Iturriaga, R.2    Paternain, G.P.3    Paternain, M.4
  • 3
    • 0001562857 scopus 로고    scopus 로고
    • Aubry-Mather theory and periodic solutions of the forced Burgers equation
    • [E99] Weinan E. Aubry-Mather theory and periodic solutions of the forced Burgers equation. Comm. Pure Appl. Math., 52(7):811–828, 1999.
    • (1999) Comm. Pure Appl. Math. , vol.52 , Issue.7 , pp. 811-828
    • Weinan, E.1
  • 4
    • 0035589103 scopus 로고    scopus 로고
    • Effective Hamiltonians and averaging for Hamiltonian dynamics
    • [EG01a] L.C. Evans and D. Gomes. Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Arch. Ration. Mech. Anal., 157(1):1–33, 2001.
    • (2001) I. Arch. Ration. Mech. Anal. , vol.157 , Issue.1 , pp. 1-33
    • Evans, L.C.1    Gomes, D.2
  • 6
    • 0031231828 scopus 로고    scopus 로고
    • Solutions KAM faibles conjuguées et barrières de Peierls
    • [Fat97a] Albert Fathi. Solutions KAM faibles conjuguées et barrières de Peierls. C. R. Acad. Sci. Paris Sér. I Math., 325(6):649–652, 1997.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.325 , Issue.6 , pp. 649-652
    • Fathi, A.1
  • 7
    • 0031138612 scopus 로고    scopus 로고
    • Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
    • [Fat97b] Albert Fathi. Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens. C. R. Acad. Sci. Paris Sér. I Math., 324(9):1043–1046, 1997.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , Issue.9 , pp. 1043-1046
    • Fathi, A.1
  • 8
    • 0032066486 scopus 로고    scopus 로고
    • Orbite hétéroclines et ensemble de Peierls
    • [Fat98a] Albert Fathi. Orbite hétéroclines et ensemble de Peierls. C. R. Acad. Sci. Paris Sér. I Math., 326:1213–1216, 1998.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.326 , pp. 1213-1216
    • Fathi, A.1
  • 9
    • 0032138156 scopus 로고    scopus 로고
    • Sur la convergence du semi-groupe de Lax-Oleinik
    • [Fat98b] Albert Fathi. Sur la convergence du semi-groupe de Lax-Oleinik. C. R. Acad. Sci. Paris Sér. I Math., 327:267–270, 1998.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.327 , pp. 267-270
    • Fathi, A.1
  • 10
    • 0042532401 scopus 로고
    • Generalized solutions and convex duality in optimal control
    • Birkhäuser Boston, Boston, MA
    • [Fle89] Wendell H. Fleming. Generalized solutions and convex duality in optimal control. In Partial differential equations and the calculus of variations, Vol. I, pages 461–471. Birkhäuser Boston, Boston, MA, 1989.
    • (1989) Partial Differential Equations and the Calculus of Variations, Vol. I , pp. 461-471
    • Fleming, W.H.1
  • 13
    • 0024731399 scopus 로고
    • Convex duality approach to the optimal control of diffusions
    • [FV89] Wendell H. Fleming and Domokos Vermes. Convex duality approach to the optimal control of diffusions. SIAM J. Control Optim., 27(5):1136–1155, 1989.
    • (1989) SIAM J. Control Optim. , vol.27 , Issue.5 , pp. 1136-1155
    • Fleming, W.H.1    Vermes, D.2
  • 15
    • 0041471525 scopus 로고    scopus 로고
    • A stochastic analogue of Aubry-Mather theory
    • [Gom02b] Diogo Aguiar Gomes. A stochastic analogue of Aubry-Mather theory. Nonlinearity, 15(3):581–603, 2002.
    • (2002) Nonlinearity , vol.15 , Issue.3 , pp. 581-603
    • Gomes, D.A.1
  • 16
    • 0037455199 scopus 로고    scopus 로고
    • Regularity theory for Hamilton-Jacobi equations
    • [Gom03] Diogo Aguiar Gomes. Regularity theory for Hamilton-Jacobi equations. J. Differential Equations, 187(2):359–374, 2003.
    • (2003) J. Differential Equations , vol.187 , Issue.2 , pp. 359-374
    • Gomes, D.A.1
  • 17
    • 0019003366 scopus 로고
    • Relaxation of optimal control problems to equivalent convex programs
    • [LV80] R.M. Lewis and R.B. Vinter. Relaxation of optimal control problems to equivalent convex programs. J. Math. Anal. Appl., 74(2):475–493, 1980.
    • (1980) J. Math. Anal. Appl. , vol.74 , Issue.2 , pp. 475-493
    • Lewis, R.M.1    Vinter, R.B.2
  • 18
    • 51649154248 scopus 로고
    • Action minimizing invariant measures for positive definite Lagrangian systems
    • [Mat91] John N. Mather. Action minimizing invariant measures for positive definite Lagrangian systems. Math. Z., 207(2):169–207, 1991.
    • (1991) Math. Z. , vol.207 , Issue.2 , pp. 169-207
    • Mather, J.N.1
  • 19
    • 84972539430 scopus 로고
    • Extension of Fenchel’s duality theorem for convex functions
    • [Roc66] R.T. Rockafellar. Extension of Fenchel’s duality theorem for convex functions. Duke Math. J., 33:81–89, 1966.
    • (1966) Duke Math. J. , vol.33 , pp. 81-89
    • Rockafellar, R.T.1
  • 20
    • 33845799781 scopus 로고    scopus 로고
    • Dynamic programming for stochastic target problems and geometric flows
    • [ST02] H. Mete Soner and Nizar Touzi. Dynamic programming for stochastic target problems and geometric flows. J. Eur. Math. Soc. (JEMS), 4(3):201–236, 2002.
    • (2002) J. Eur. Math. Soc. (JEMS) , vol.4 , Issue.3 , pp. 201-236
    • Mete Soner, H.1    Touzi, N.2
  • 21
    • 0042031629 scopus 로고
    • The equivalence of strong and weak formulations for certain problems in optimal control
    • [VL78a] Richard B. Vinter and Richard M. Lewis. The equivalence of strong and weak formulations for certain problems in optimal control. SIAM J. Control Optim., 16(4):546–570, 1978.
    • (1978) SIAM J. Control Optim. , vol.16 , Issue.4 , pp. 546-570
    • Vinter, R.B.1    Lewis, R.M.2
  • 22
    • 0040708241 scopus 로고
    • A necessary and sufficient condition for optimality of dynamic programming type, making no a priori assumptions on the controls
    • [VL78b] Richard B. Vinter and Richard M. Lewis. A necessary and sufficient condition for optimality of dynamic programming type, making no a priori assumptions on the controls. SIAM J. Control Optim., 16(4):571–583, 1978.
    • (1978) SIAM J. Control Optim. , vol.16 , Issue.4 , pp. 571-583
    • Vinter, R.B.1    Lewis, R.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.