-
1
-
-
0003282839
-
Functions of bounded variation and free discontinuity problems
-
Oxford University Press, Oxford, UK
-
L. AMBROSIO, N. FUSCO, AND D. PALLARA, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Math. Monogr., Oxford University Press, Oxford, UK, 2000.
-
(2000)
Oxford Math. Monogr.
-
-
Ambrosio, L.1
Fusco, N.2
Pallara, D.3
-
2
-
-
31744443874
-
Gradient flows in metric spaces and in the space of probability measures
-
Birkhäuser, Basel
-
L. AMBROSIO, N. GlGLI, AND G. SAVARÉ, Gradient Flows in Metric Spaces and in the Space of Probability Measures, ETH Lecture Notes in Math., Birkhäuser, Basel, 2005.
-
(2005)
ETH Lecture Notes in Math.
-
-
Ambrosio, L.1
Glgli, N.2
Savaré, G.3
-
4
-
-
0002087156
-
Mutational equations in metric spaces
-
J.-P. AUBIN, Mutational equations in metric spaces, Set-Valued Anal., 1 (1993), pp. 3-46.
-
(1993)
Set-valued Anal.
, vol.1
, pp. 3-46
-
-
Aubin, J.-P.1
-
5
-
-
38049000285
-
A note on differential calculus in metric spaces and its applications to the evolution of tubes
-
J.-P. AUBIN, A note on differential calculus in metric spaces and its applications to the evolution of tubes, Bull. Polish Acad. Sci. Math., 40 (1992) , pp. 151-162.
-
(1992)
Bull. Polish Acad. Sci. Math.
, vol.40
, pp. 151-162
-
-
Aubin, J.-P.1
-
11
-
-
0010858699
-
-
Birkhäuser, Basel
-
P. CANNARSA AND C. SINESTRARI, Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Birkhäuser, Basel, 2004.
-
(2004)
Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
-
-
Cannarsa, P.1
Sinestrari, C.2
-
12
-
-
0000981226
-
Convexity properties of the minimum time function
-
P. CANNARSA AND C. SINESTRARI, Convexity properties of the minimum time function, Calc. Var. J., 3 (1995), pp. 273-298.
-
(1995)
Calc. Var. J.
, vol.3
, pp. 273-298
-
-
Cannarsa, P.1
Sinestrari, C.2
-
13
-
-
34249767150
-
A geometric model for active contours
-
V. CASELLES, F. CATTÉ, T. COLL, AND F. DIBOS, A geometric model for active contours, Numer. Math., 66 (1993), pp. 1-31.
-
(1993)
Numer. Math.
, vol.66
, pp. 1-31
-
-
Caselles, V.1
Catté, F.2
Coll, T.3
Dibos, F.4
-
14
-
-
38049089346
-
Une méthode numérique pour la recherche d'un domaine optimal
-
Computing Methods in Applied Sciences and Engineering, Part 1, R. Glowinski, and J. L. Lions, eds., Springer, Berlin
-
J. CÉA, Une méthode numérique pour la recherche d'un domaine optimal, in Computing Methods in Applied Sciences and Engineering. Part 1, R. Glowinski, and J. L. Lions, eds., Lecture Notes in Econom. Math. Systems 134, Springer, Berlin, 1976, pp. 245-257.
-
(1976)
Lecture Notes in Econom. Math. Systems
, vol.134
, pp. 245-257
-
-
Céa, J.1
-
15
-
-
0029748918
-
A proximal characterization of the reachable set
-
F. H. CLARKE, A proximal characterization of the reachable set, Systems Control Lett., 27 (1996), pp. 195-197.
-
(1996)
Systems Control Lett.
, vol.27
, pp. 195-197
-
-
Clarke, F.H.1
-
17
-
-
33751198949
-
Some new regularity properties for the minimal time function
-
G. COLOMBO, A. MARIGONDA, AND P. WOLENSKI, Some new regularity properties for the minimal time function, SIAM J. Control Optim., 44 ( 2006), pp. 2285-2299.
-
(2006)
SIAM J. Control Optim.
, vol.44
, pp. 2285-2299
-
-
Colombo, G.1
Marigonda, A.2
Wolenski, P.3
-
18
-
-
1642535406
-
Shapes and geometries: Analysis, differential calculus, and optimization
-
SIAM, Philadelphia
-
M. C. DELFOUR AND J.-P. ZOLÉSIO, Shapes and Geometries: Analysis, Differential Calculus, and Optimization, Adv. Des. Control 4, SIAM, Philadelphia, 2001.
-
(2001)
Adv. Des. Control
, vol.4
-
-
Delfour, M.C.1
Zolésio, J.-P.2
-
19
-
-
0026254180
-
Velocity method and Lagrangian formulation for the computation of the shape Hessian
-
M. C. DELFOUR AND J.-P. ZOLÉSIO, Velocity method and Lagrangian formulation for the computation of the shape Hessian, SIAM J. Control Optim., 29 (1991), pp. 1414-1442.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 1414-1442
-
-
Delfour, M.C.1
Zolésio, J.-P.2
-
20
-
-
0345807056
-
Mutational equations for shapes and vision-based control
-
L. DOYEN, Mutational equations for shapes and vision-based control, J. Math. Imaging Vis., 5 (1995), pp. 99-109.
-
(1995)
J. Math. Imaging Vis.
, vol.5
, pp. 99-109
-
-
Doyen, L.1
-
21
-
-
27644590045
-
Shape Lyapunov functions and stabilization of reachable tubes of control problems
-
L. DOYEN, Shape Lyapunov functions and stabilization of reachable tubes of control problems, J. Math. Anal. Appl., 184 (1994), pp. 222-228.
-
(1994)
J. Math. Anal. Appl.
, vol.184
, pp. 222-228
-
-
Doyen, L.1
-
22
-
-
0001650786
-
Filippov and invariance theorems for mutational inclusions of tubes
-
L. DOYEN, Filippov and invariance theorems for mutational inclusions of tubes, Set-Valued Anal., 1 (1993), pp. 289-303
-
(1993)
Set-valued Anal.
, vol.1
, pp. 289-303
-
-
Doyen, L.1
-
25
-
-
84968469617
-
Curvature measures
-
H. FEDERER, Curvature measures, Trans. Amer. Math. Soc., 93 (1959), pp. 418-491.
-
(1959)
Trans. Amer. Math. Soc.
, vol.93
, pp. 418-491
-
-
Federer, H.1
-
26
-
-
79251495881
-
Value function in optimal control
-
Mathematical Control Theory, A. A. Agrachev, ed., Abdus Salam Int. Cent. Theoret. Phys., Trieste, Italy
-
H. FRANKOWSKA, Value function in optimal control, in Mathematical Control Theory, A. A. Agrachev, ed., ICTP Lect. Notes. 8, Abdus Salam Int. Cent. Theoret. Phys., Trieste, Italy, 2002, pp. 515-653.
-
(2002)
ICTP Lect. Notes.
, vol.8
, pp. 515-653
-
-
Frankowska, H.1
-
27
-
-
79251531229
-
How set-valued maps pop up in control theory
-
Systems and Control in the Twenty-First Century (St. Louis, MO, 1996), Birkhäuser Boston, Boston, MA
-
H. FRANKOWSKA, How set-valued maps pop up in control theory, in Systems and Control in the Twenty-First Century (St. Louis, MO, 1996), Progr. Systems Control Theory, 22, Birkhäuser Boston, Boston, MA, 1997, pp. 155-169.
-
(1997)
Progr. Systems Control Theory
, vol.22
, pp. 155-169
-
-
Frankowska, H.1
-
28
-
-
84972563523
-
Tubular neighborhoods in Euclidean spaces
-
J. H. G. FU, Tubular neighborhoods in Euclidean spaces, Duke Math. J., 52 (1985), pp. 1025-1046.
-
(1985)
Duke Math. J.
, vol.52
, pp. 1025-1046
-
-
Fu, J.H.G.1
-
29
-
-
33747232203
-
On the Arzela-Ascoli theorem
-
J. W. GREEN AND F. A. VALENTINE, On the Arzela-Ascoli theorem, Math. Mag., 34 (1960/61), pp. 199-202.
-
(1960)
Math. Mag.
, vol.34
, pp. 199-202
-
-
Green, J.W.1
Valentine, F.A.2
-
30
-
-
0031284342
-
Evolutions of tubes under operability constraints
-
A. GORRE, Evolutions of tubes under operability constraints, J. Math. Anal. Appl., 216 (1997), pp. 1-22.
-
(1997)
J. Math. Anal. Appl.
, vol.216
, pp. 1-22
-
-
Gorre, A.1
-
32
-
-
79251500774
-
-
Ph.D. thesis, Goethe University, Frankfurt am Main, Germany
-
D. JUNGBLUT, Rekonstruktion von Oberflächenmorphologien und Merkmalskeletten aus dreidimensionalen Daten unter Verwendung hochparalleler Rechnerarchitekturen, Ph.D. thesis, Goethe University, Frankfurt am Main, Germany, 2010.
-
(2010)
Rekonstruktion von Oberflächenmorphologien und Merkmalskeletten Aus Dreidimensionalen Daten Unter Verwendung Hochparalleler Rechnerarchitekturen
-
-
Jungblut, D.1
-
33
-
-
34250090755
-
Snakes: Active contour models
-
M. KASS, A. WITKIN, AND D. TERZOPOULOS, Snakes: Active contour models, Int.J. Comput. Vis., 1 (1987), pp. 321-331.
-
(1987)
Int. J. Comput. Vis.
, vol.1
, pp. 321-331
-
-
Kass, M.1
Witkin, A.2
Terzopoulos, D.3
-
34
-
-
77953173733
-
Mutational analysis. A joint framework for cauchy problems in and beyond vector spaces
-
Springer-Verlag, Berlin
-
Th. LORENZ, Mutational Analysis. A Joint Framework for Cauchy Problems in and Beyond Vector Spaces, Lecture Notes in Math. 1996, Springer-Verlag, Berlin, 2010.
-
(2010)
Lecture Notes in Math.
, vol.1996
-
-
Lorenz, Th.1
-
35
-
-
38048999576
-
Shape evolutions under state constraints: A viability theorem
-
TH. LORENZ, Shape evolutions under state constraints: A viability theorem, J. Math. Anal. Appl., 340 (2008), pp. 1204-1225.
-
(2008)
J. Math. Anal. Appl.
, vol.340
, pp. 1204-1225
-
-
Lorenz, T.H.1
-
36
-
-
55549094817
-
A viability theorem for morphological inclusions
-
Th. LORENZ, A viability theorem for morphological inclusions, SIAM J. Control Optim., 47 (2008), pp. 1591-1614.
-
(2008)
SIAM J. Control Optim.
, vol.47
, pp. 1591-1614
-
-
Lorenz, Th.1
-
37
-
-
33746318637
-
Reynolds' transport theorem for differential inclusions
-
Th. LORENZ, Reynolds' transport theorem for differential inclusions, Set-Valued Anal., 14 (2006), pp. 209-247.
-
(2006)
Set-Valued Anal.
, vol.14
, pp. 209-247
-
-
Lorenz, Th.1
-
38
-
-
21444436442
-
Boundary regularity of reachable sets of control systems
-
TH. LORENZ, Boundary regularity of reachable sets of control systems, Systems Control Lett., 54 (2005), pp. 919-924.
-
(2005)
Systems Control Lett.
, vol.54
, pp. 919-924
-
-
Lorenz, T.H.1
-
39
-
-
14344255737
-
Set-valued maps for image segmentation
-
TH. LORENZ, Set-valued maps for image segmentation, Comput. Vis. Sci., 4 (2001), pp. 41-57.
-
(2001)
Comput. Vis. Sci.
, vol.4
, pp. 41-57
-
-
Lorenz, T.H.1
-
40
-
-
0001232090
-
Continuous selections I
-
E. MICHAEL, Continuous selections I, Ann. of Math., 63 ( 1956), pp. 361-381.
-
(1956)
Ann. of Math.
, vol.63
, pp. 361-381
-
-
Michael, E.1
-
41
-
-
23144463781
-
A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
-
I. MITCHELL, A. BAYEN, AND Cl. TOMLIN, A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games, IEEE Trans. Automat. Control, 50 (2005), pp. 947-957.
-
(2005)
IEEE Trans. Automat. Control
, vol.50
, pp. 947-957
-
-
Mitchell, I.1
Bayen, A.2
Tomlin, Cl.3
-
42
-
-
0346640326
-
Overapproximating reachable sets by Hamilton-Jacobi projections
-
I. MITCHELL AND CL. TOMLIN, Overapproximating reachable sets by Hamilton-Jacobi projections, J. Sci. Comput., 19 (2003), pp. 323-346.
-
(2003)
J. Sci. Comput.
, vol.19
, pp. 323-346
-
-
Mitchell, I.1
Tomlin, Cl.2
-
44
-
-
33747719908
-
Tangential regularity in the space of directional-morphological transitions
-
J. A. MURILLO HERNÁNDEZ, Tangential regularity in the space of directional-morphological transitions, J. Convex Anal., 13 (2006), pp. 423-441.
-
(2006)
J. Convex Anal.
, vol.13
, pp. 423-441
-
-
Murillo Hernández, J.A.1
-
45
-
-
0000899238
-
Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen
-
M. NAGUMO, Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen, Proc. Phys.-Math. Soc. Japan (3), 24 (1942), pp. 551-559.
-
(1942)
Proc. Phys.-math. Soc. Japan (3)
, vol.24
, pp. 551-559
-
-
Nagumo, M.1
-
46
-
-
77955661112
-
Hypographs satisfying an external sphere condition and the regularity of the minimum time function
-
K. T. NGUYEN, Hypographs satisfying an external sphere condition and the regularity of the minimum time function, J. Math. Anal. Appl., 372 (2 010), pp. 611-628.
-
(2010)
J. Math. Anal. Appl.
, vol.372
, pp. 611-628
-
-
Nguyen, K.T.1
-
47
-
-
34250120198
-
Finiteness of Hausdorff measure of level sets of bounded subsets of Euclidean space
-
I. YA. OLEKSIV AND N. I. PESIN, Finiteness of Hausdorff measure of level sets of bounded subsets of Euclidean space, Math. Notes, 37 (1985), pp. 237-242.
-
(1985)
Math. Notes
, vol.37
, pp. 237-242
-
-
Ya. Oleksiv, I.1
Pesin, I.N.2
-
49
-
-
21344445449
-
Quasidifferential equations in a complete metric space under conditions of the Carathéodory type i
-
A. I. PANASYUK, Quasidifferential equations in a complete metric space under conditions of the Carathéodory type I, Differential Equations, 31 (1995), pp. 901-910.
-
(1995)
Differential Equations
, vol.31
, pp. 901-910
-
-
Panasyuk, A.I.1
-
50
-
-
38049005372
-
Properties of solutions of a quasidifferential approximation equation and the equation of an integral funnel
-
A. I. PANASYUK, Properties of solutions of a quasidifferential approximation equation and the equation of an integral funnel, Differential Equations, 28 (1992), pp. 1259-1266.
-
(1992)
Differential Equations
, vol.28
, pp. 1259-1266
-
-
Panasyuk, A.I.1
-
51
-
-
0010047364
-
Quasidifferential equations in metric spaces
-
A. I. PANASYUK, Quasidifferential equations in metric spaces, Differential Equations, 21 (1985), pp. 914-921.
-
(1985)
Differential Equations
, vol.21
, pp. 914-921
-
-
Panasyuk, A.I.1
-
52
-
-
0002828138
-
Open-loop viable control under uncertain initial state information
-
M. QUINCAMPOIX AND V. VELIOV, Open-loop viable control under uncertain initial state information, Set-Valued Anal., 7 (1999), pp. 55-87.
-
(1999)
Set-valued Anal.
, vol.7
, pp. 55-87
-
-
Quincampoix, M.1
Veliov, V.2
-
53
-
-
79251525955
-
-
Preprint No. MATH-MU-2006/7, Faculty of Mathematics and Physics, Mathematical Institute, Charles University, Prague, Czech Republic
-
J. RATAJ, A Note on Measures of Parallel Neighborhoods, Preprint No. MATH-MU-2006/7, Faculty of Mathematics and Physics, Mathematical Institute, Charles University, Prague, Czech Republic, 2007.
-
(2007)
A Note on Measures of Parallel Neighborhoods
-
-
Rataj, J.1
-
54
-
-
0000670389
-
n
-
R. T. ROCKAFELLAR, Clarke's tangent cones and the boundaries of closed sets in ℝn, Nonlinear Anal., 3 (1979), pp. 145-154.
-
(1979)
Nonlinear Anal.
, vol.3
, pp. 145-154
-
-
Rockafellar, R.R.1
-
57
-
-
0003269328
-
Introduction to shape optimization. Shape sensitivity analysis
-
Springer-Verlag, Berlin
-
J. SOKOLOWSKI AND J.-P. ZOLÉSIO, Introduction to Shape Optimization. Shape Sensitivity Analysis, Springer Ser. Comput. Math. 16, Springer-Verlag, Berlin, 1992.
-
(1992)
Springer Ser. Comput. Math.
, vol.16
-
-
Sokolowski, J.1
Zolésio, J.-P.2
-
58
-
-
17044407074
-
Introduction to the theory of differential inclusions
-
AMS, Providence, RI
-
G. V. SMIRNOV, Introduction to the theory of differential inclusions, Grad. Stud. Math. 41, AMS, Providence, RI, 2002.
-
(2002)
Grad. Stud. Math.
, vol.41
-
-
Smirnov, G.V.1
-
59
-
-
70349652248
-
On the outer Minkowski content of sets
-
E. VILLA, On the outer Minkowski content of sets, Ann. Mat. Pura Appl. (4), 188 (2009), pp. 619-630.
-
(2009)
Ann. Mat. Pura Appl. (4)
, vol.188
, pp. 619-630
-
-
Villa, E.1
-
61
-
-
0026741340
-
A fast algorithm for active contours and curvature estimation
-
D. J. WILLIAMS AND M. SHAH, A fast algorithm for active contours and curvature estimation, CVGIP: Image Understanding, 55 (1992), pp. 14-26.
-
(1992)
CVGIP: Image Understanding
, vol.55
, pp. 14-26
-
-
Williams, D.J.1
Shah, M.2
-
62
-
-
0025483554
-
The exponential formula for the reachable set of a Lipschitz differential inclusion
-
P. R. WOLENSKI, The exponential formula for the reachable set of a Lipschitz differential inclusion, SIAM J. Control Optim., 28 (1990), pp. 1148-1161.
-
(1990)
SIAM J. Control Optim.
, vol.28
, pp. 1148-1161
-
-
Wolenski, P.R.1
-
63
-
-
0003662923
-
-
Thèse de doctorat d'état, Université de Nice, Nice, France
-
J.-P. ZOLÉSIO, Identification de domaine par déformations, Thèse de doctorat d'état, Université de Nice, Nice, France, 1979.
-
(1979)
Identification de Domaine Par Déformations
-
-
Zolésio, J.-P.1
|