메뉴 건너뛰기




Volumn 16, Issue 1, 2008, Pages 1-50

Generalizing mutational equations for uniqueness of some nonlocal 1 st-order geometric evolutions

Author keywords

Interior and exterior ball condition on sets; Mutational equation; Proximal normal cone; Reachable set of differential inclusion; Timed ostensible metric (non symmetric distance with time orientation)

Indexed keywords


EID: 38749109648     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-007-0057-5     Document Type: Article
Times cited : (4)

References (31)
  • 2
    • 0002087156 scopus 로고
    • Mutational equations in metric spaces
    • Aubin, J.-P.: Mutational equations in metric spaces. Set-Valued Anal. 1, 3-46 (1993)
    • (1993) Set-Valued Anal. , vol.1 , pp. 3-46
    • Aubin, J.-P.1
  • 3
    • 38049000285 scopus 로고
    • A note on differential calculus in metric spaces and its applications to the evolution of tubes
    • 2
    • Aubin, J.-P.: A note on differential calculus in metric spaces and its applications to the evolution of tubes. Bull. Polish Acad. Sci. Math. 40(2), 151-162 (1992)
    • (1992) Bull. Polish Acad. Sci. Math. , vol.40 , pp. 151-162
    • Aubin, J.-P.1
  • 7
    • 33645767694 scopus 로고    scopus 로고
    • Interior sphere property of attainable sets and time optimal control problems
    • Cannarsa, P., Frankowska, H.: Interior sphere property of attainable sets and time optimal control problems. ESAIM Control Optim. Calc. Var. 12, 350-370 (2006)
    • (2006) ESAIM Control Optim. Calc. Var. , vol.12 , pp. 350-370
    • Cannarsa, P.1    Frankowska, H.2
  • 8
    • 0035882862 scopus 로고    scopus 로고
    • Front propagation problems with nonlocal terms II
    • 2
    • Cardaliaguet, P.: Front propagation problems with nonlocal terms II. J. Math. Anal. Appl. 260(2), 572-601 (2001)
    • (2001) J. Math. Anal. Appl. , vol.260 , pp. 572-601
    • Cardaliaguet, P.1
  • 9
    • 0000474114 scopus 로고    scopus 로고
    • On front propagation problems with nonlocal terms
    • 1-3
    • Cardaliaguet, P.: On front propagation problems with nonlocal terms. Adv. Differential Equations 5(1-3), 213-268 (2000)
    • (2000) Adv. Differential Equations , vol.5 , pp. 213-268
    • Cardaliaguet, P.1
  • 10
    • 21344456605 scopus 로고    scopus 로고
    • Conjugate points and shocks in nonlinear optimal control
    • 8
    • Caroff, N., Frankowska, H.: Conjugate points and shocks in nonlinear optimal control. Trans. Amer. Math. Soc. 348(8), 3133-3153 (1996)
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 3133-3153
    • Caroff, N.1    Frankowska, H.2
  • 12
    • 1642535406 scopus 로고    scopus 로고
    • Shapes and geometries. Analysis, differential calculus, and optimization
    • Delfour, M.C., Zolésio, J.-P.: Shapes and geometries. Analysis, differential calculus, and optimization. SIAM Adv. Des. Control 4, (2001)
    • (2001) SIAM Adv. Des. Control , vol.4
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 13
    • 0345807056 scopus 로고
    • Mutational equations for shapes and vision-based control
    • 2
    • Doyen, L.: Mutational equations for shapes and vision-based control. J. Math. Imaging Vision 5(2), 99-109 (1995)
    • (1995) J. Math. Imaging Vision , vol.5 , pp. 99-109
    • Doyen, L.1
  • 14
    • 0001650786 scopus 로고
    • Filippov and invariance theorems for mutational inclusions of tubes
    • 3
    • Doyen, L.: Filippov and invariance theorems for mutational inclusions of tubes. Set-Valued Anal. 1(3), 289-303 (1993)
    • (1993) Set-Valued Anal. , vol.1 , pp. 289-303
    • Doyen, L.1
  • 15
    • 0009632852 scopus 로고
    • Mutational equations of the morphological dilation tubes
    • 3
    • Doyen, L., Najman, L., Mattioli, J.: Mutational equations of the morphological dilation tubes. J. Math. Imaging Vision 5(3), 219-230 (1995)
    • (1995) J. Math. Imaging Vision , vol.5 , pp. 219-230
    • Doyen, L.1    Najman, L.2    Mattioli, J.3
  • 18
    • 0031284342 scopus 로고    scopus 로고
    • Evolutions of tubes under operability constraints
    • 1
    • Gorre, A.: Evolutions of tubes under operability constraints. J. Math. Anal. Appl. 216(1), 1-22 (1997)
    • (1997) J. Math. Anal. Appl. , vol.216 , pp. 1-22
    • Gorre, A.1
  • 20
    • 38749097959 scopus 로고    scopus 로고
    • Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
    • Submitted to
    • Lorenz, T.: Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms. Submitted to Discuss. Math. Differential Incl. Control Optim. (2006) ( http://www.ub.uni-heidelberg.de/ archiv/7392 )
    • (2006) Discuss. Math. Differential Incl. Control Optim
    • Lorenz, T.1
  • 21
    • 21444436442 scopus 로고    scopus 로고
    • Boundary regularity of reachable sets of control systems
    • 9
    • Lorenz, T.: Boundary regularity of reachable sets of control systems. Systems Control Lett. 54(9), 919-924 (2005)
    • (2005) Systems Control Lett. , vol.54 , pp. 919-924
    • Lorenz, T.1
  • 24
    • 0002499254 scopus 로고
    • Euler method for mutational equations
    • 3
    • Najman, L.: Euler method for mutational equations. J. Math. Anal. Appl. 196(3), 814-822 (1995)
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 814-822
    • Najman, L.1
  • 25
    • 21344445449 scopus 로고
    • Quasidifferential equations in a complete metric space under conditions of the Carathéodory type. i
    • 6
    • Panasyuk, A.I.: Quasidifferential equations in a complete metric space under conditions of the Carathéodory type. I. Differential Equations 31(6), 901-910 (1995)
    • (1995) Differential Equations , vol.31 , pp. 901-910
    • Panasyuk, A.I.1
  • 26
    • 38749093928 scopus 로고
    • Quasidifferential equations in a complete metric space under Carathéodory-type conditions. II
    • 8
    • Panasyuk, A.I.: Quasidifferential equations in a complete metric space under Carathéodory-type conditions. II. Differential Equations 31(8), 1308-1317 (1995)
    • (1995) Differential Equations , vol.31 , pp. 1308-1317
    • Panasyuk, A.I.1
  • 27
    • 0010047364 scopus 로고
    • Quasidifferential equations in metric spaces
    • Panasyuk, A.I.: Quasidifferential equations in metric spaces. Differential Equations 21, 914-921 (1985)
    • (1985) Differential Equations , vol.21 , pp. 914-921
    • Panasyuk, A.I.1
  • 30
    • 84990623687 scopus 로고
    • Comparison theorems for the matrix Riccati equation
    • 5
    • Royden, H.L.: Comparison theorems for the matrix Riccati equation. Comm. Pure Appl. Math. 41(5), 739-746 (1988)
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 739-746
    • Royden, H.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.