메뉴 건너뛰기




Volumn 132, Issue 11, 2004, Pages 3203-3213

W2,∞ regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension

Author keywords

Degenerate parabolic equations; Hamilton Jacobi Bellman equations; Regularity; Regularizing effects; Viscosity solutions

Indexed keywords


EID: 7444247980     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07577-X     Document Type: Conference Paper
Times cited : (2)

References (19)
  • 1
    • 0031091769 scopus 로고    scopus 로고
    • Convex viscosity solutions and state constraints
    • (9). MR 98k:35045
    • O. Alvarez, J.-M. Lasry, and P.-L. Lions. Convex viscosity solutions and state constraints. J. Math. Pures Appl. (9), 76(3):265-288, 1997. MR 98k:35045
    • (1997) J. Math. Pures Appl. , vol.76 , Issue.3 , pp. 265-288
    • Alvarez, O.1    Lasry, J.-M.2    Lions, P.-L.3
  • 2
    • 0031386325 scopus 로고    scopus 로고
    • Regularizing effects for a class of first-order Hamilton-Jacobi equations
    • MR 99b:35020
    • M. Arisawa and A. Tourin. Regularizing effects for a class of first-order Hamilton-Jacobi equations. Nonlinear Anal. 29(12):1405-1419, 1997. MR 99b:35020
    • (1997) Nonlinear Anal. , vol.29 , Issue.12 , pp. 1405-1419
    • Arisawa, M.1    Tourin, A.2
  • 4
    • 0001577905 scopus 로고
    • Uniqueness and regularity results for first-order Hamilton-Jacobi equations
    • MR 92b:35038
    • G. Barles. Uniqueness and regularity results for first-order Hamilton-Jacobi equations. Indiana Univ. Matt. J. 39(2):443-466, 1990. MR 92b:35038
    • (1990) Indiana Univ. Matt. J. , vol.39 , Issue.2 , pp. 443-466
    • Barles, G.1
  • 5
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second-order partial differential equations
    • MR 92j:35050
    • M. G. Crandall, H. Ishii, and P.-L. Lions. User's guide to viscosity solutions of second-order partial differential equations. Bull. Amer. Math. Soc. (N.S.), 27(1):1-67, 1992. MR 92j:35050
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 7
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • American Mathematical Society, Providence, RI. MR 99e:35001
    • L. C. Evans. Partial Differential Equations. Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 1998. MR 99e:35001
    • (1998) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 9
    • 0000097584 scopus 로고
    • On the existence of value functions of two-player, zero-sum stochastic differential games
    • MR 90e:93089
    • W. H. Fleming and P. E. Souganidis. On the existence of value functions of two-player, zero-sum stochastic differential games. Indiana Univ. Math. J. 38(2):293-314, 1989. MR 90e:93089
    • (1989) Indiana Univ. Math. J. , vol.38 , Issue.2 , pp. 293-314
    • Fleming, W.H.1    Souganidis, P.E.2
  • 10
    • 84972566521 scopus 로고
    • Perron's method for Hamilton-Jacobi equations
    • MR 89a:35053
    • H. Ishii. Perron's method for Hamilton-Jacobi equations. Duke Math. J. 55(2):369-384, 1987. MR 89a:35053
    • (1987) Duke Math. J. , vol.55 , Issue.2 , pp. 369-384
    • Ishii, H.1
  • 11
    • 0038069084 scopus 로고    scopus 로고
    • On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems
    • E. R. Jakobsen. On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems. Math. Models Methods Appl. Sci. (M3AS) 13(5): 613-644, 2003.
    • (2003) Math. Models Methods Appl. Sci. (M3AS) , vol.13 , Issue.5 , pp. 613-644
    • Jakobsen, E.R.1
  • 12
    • 0037055768 scopus 로고    scopus 로고
    • Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations
    • MR 2003i:35135
    • E. R. Jakobsen and K. H. Karlsen. Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. J. Differential Equations 183:497-525, 2002. MR 2003i:35135
    • (2002) J. Differential Equations , vol.183 , pp. 497-525
    • Jakobsen, E.R.1    Karlsen, K.H.2
  • 13
    • 0011560835 scopus 로고
    • A representation formula and regularizing properties for viscosity solutions of second-order fully nonlinear degenerate parabolic equations
    • MR 95m:35039
    • M. A. Katsoulakis. A representation formula and regularizing properties for viscosity solutions of second-order fully nonlinear degenerate parabolic equations. Nonlinear Anal., 24(2):147-158, 1995. MR 95m:35039
    • (1995) Nonlinear Anal. , vol.24 , Issue.2 , pp. 147-158
    • Katsoulakis, M.A.1
  • 16
    • 0040365115 scopus 로고
    • Regularizing effects for first-order Hamilton-Jacobi equations
    • MR 87h:35054
    • P. L. Lions. Regularizing effects for first-order Hamilton-Jacobi equations. Applicable Anal. 20(3-4):283-307, 1985. MR 87h:35054
    • (1985) Applicable Anal. , vol.20 , Issue.3-4 , pp. 283-307
    • Lions, P.L.1
  • 17
    • 84990616983 scopus 로고
    • On the regularity theory of fully nonlinear parabolic equations. I
    • MR 92m:35126
    • L. Wang. On the regularity theory of fully nonlinear parabolic equations. I. Comm. Pure Appl. Math. 45(l):27-76, 1992. MR 92m:35126
    • (1992) Comm. Pure Appl. Math. , vol.45 , Issue.50 , pp. 27-76
    • Wang, L.1
  • 18
    • 84990619178 scopus 로고
    • On the regularity theory of fully nonlinear parabolic equations. II
    • MR 92m:35127
    • L. Wang. On the regularity theory of fully nonlinear parabolic equations. II. Comm. Pure Appl. Math. 45(1):141-178, 1992. MR 92m:35127
    • (1992) Comm. Pure Appl. Math. , vol.45 , Issue.1 , pp. 141-178
    • Wang, L.1
  • 19
    • 0033353226 scopus 로고    scopus 로고
    • 1+α regularity of viscosity solutions for fully nonlinear parabolic equations
    • MR 2003b:35100
    • 1+α regularity of viscosity solutions for fully nonlinear parabolic equations. Nonlinear Anal. 38(8):977-994, 1999. MR 2003b:35100
    • (1999) Nonlinear Anal. , vol.38 , Issue.8 , pp. 977-994
    • Zhu, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.