Follow this link to visit the websites of my coauthors
Downloadable files are preprint versions
They may differ at minor points from the published papers
Books:
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J.M.A.M. van Neerven
The Asymptotic Behaviour of Semigroups of Linear Operators Operator Theory: Advances and Applications, Vol. 88, Birkhäuser Verlag, Basel, 1996 MR 98d:47001 |
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J.M.A.M. van Neerven
The Adjoint of a Semigroup of Linear Operators Springer Lecture Notes in Mathematics 1529, Springer-Verlag, Berlin, 1992 MR 94j:47059 |
Edita:
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H.T. Koelink, J.M.A.M. van Neerven, B. de Pagter, and G.H. Sweers (Eds.)
Partial Differential Equations and Functional Analysis: The Philippe Clément Festschrift Operator Theory: Advances and Applications, Vol. 168, Birkhäuser Verlag, Basel, 2006 MR 2007b:00012 |
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Ph. Clément, F. den Hollander, J.M.A.M. van Neerven, and B. de
Pagter (Eds.)
Infinite-Dimensional Stochastic Analysis Proceedings of the Academy Colloquium (Amsterdam 1999) Verhandelingen, Afdeling Natuurkunde, Vol. 52. Royal Dutch Academy of Sciences and Arts, 2000 MR 2001m:60003 |
Lecture Notes:
Stochastic Evolution EquationsLecture notes of the Internet Seminar 2007/08 (version May 07, 2010)
Inaugural lecture:
Infinite Dimensions (in Dutch)Nieuw Archief voor Wiskunde 10 (2009), no. 1, 22-28
Papers:
Maximal L^p-regularity for stochastic evolution equations
SIAM J. Math. Anal. 44 (2012), no. 3, 1372-1414
Continuous dependence on the coefficients and global existence for stochastic reaction-diffusion equations
J. Diff. Eq., Online First, DOI: 10.1016/j/jde/2012.04.013
Stochastic maximal L^p-regularity
Ann. Probab. 40 (2012), 788-812
Stochastic evolution equations driven by Liouville fractional Brownian motion
Czech. Math. J. 62 (2012), 1-27
A maximal inequality for stochastic convolutions in 2-smooth Banach spaces
Electron. Commun. Probab. 16 (2011), 689-705
Non-tangential maximal functions and conical square functions with respect to the Gaussian measure
Pub. Mat. 55 (2011), 313-341
Whitney coverings and the tent spaces T^{1,q}(γ) for the Gaussian measure
Arkiv för Matematik, Springer Online First, DOI: 10.1007/s11512-010-0143-z
Approximating the coefficients in semilinear stochastic partial differential equations
J. Evol. Equ. 11 (2011), 577-604
Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators
In: Parabolic Problems: The Herbert Amann Festschrift
Progress in Nonlinear Differential Equations and Their Applications, Vol. 80, Birkhäuser Verlag, 2011, 463-477
A remark on the factorization method
In: Stochastic Partial differential Equations and Applications (Levico Terme, 2008)
Quaderni di Matematica, Vol. 25, Universita di Napoli, 2010, 257-270
γ-Radonifying operators - a survey
Proceedings of the CMA 44 (2010), 1-62
MR 2 655 391
Convergence rates of the splitting scheme for parabolic linear stochastic Cauchy problems
SIAM J. Numer. Anal. 48 (2010), 428-451
MR 2 646 103
Spaces of operator-valued functions measurable with respect to the strong operator topology
In: Vector Measures, Integration and Applications (Eichstätt, 2008)
Operator Theory: Advances and Applications, Vol. 201, Birkhäuser, 2010, 65--78
MR 2 743 975
Vector measures of bounded γ-variation and stochastic integrals
In: Vector Measures, Integration and Applications (Eichstätt, 2008)
Operator Theory: Advances and Applications, Vol. 201, Birkhäuser, 2010, 303--312
MR 2 743 996
Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces
J. Funct. Anal. 257 (2009), 2410-2475
MR 2 555 015
Asymptotic behaviour of C_0-semigroups and gamma-boundedness of the resolvent
J. Math. Anal. Appl. 358 (2009), 380-388
MR 2 532 514
On the domain of nonsymmetric Ornstein-Uhlenbeck operators in Banach spaces
Infin. Dimens. Anal. Quantum Probab. Relat. Fields 11 (2008), 603-626
MR 2 483 799
Conical square function estimates in UMD Banach spaces and applications to H-infinity functional calculi
J. Analyse Math. 106 (2008), 317-351
MR 2 448 989
Stochastic evolution equations in UMD Banach spaces
J. Funct. Anal. 255 (2008), 940-993
MR 2 433 958
Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion
Potential Anal. 29 (2008), 65-88
MR 2 421 495
Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
J. Differential Eq. 245 (2008), 30-58
MR 2 422 709
A Clark-Ocone formula in UMD Banach spaces
Electon. Comm. Probab. 13 (2008), 151-164
MR 2 399 277
Embedding vector-valued Besov spaces into spaces of gamma-radonifying operators
Math. Nachr. 281 (2008), 238-252
MR 2 387 363
Conditions for stochastic integrability in UMD Banach spaces
In: "Banach Spaces and their Applications in Analysis: In Honor of Nigel Kalton's 60th Birthday"
De Gruyter Proceedings in Mathematics, De Gruyter, 2007, 127-146
MR 2 374 704
On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
Archiv Math. (Basel) 89 (2007), 226-236
MR 2 352 390
Compactness in vector-valued Banach function spaces
Positivity 11 (2007), 461-467
MR 2 336 209
Stochastic integration in UMD Banach spaces
Annals Probab. 35 (2007), 1438-1478
MR 2 330 977
A semigroup approach to stochastic delay equations in spaces of continuous functions
Semigroup Forum 74 (2007), 227-239 MR 2 312 964
A stochastic Datko-Pazy theorem
J. Math. Anal. Appl. 329 (2007), 1230-1239
MR 2 296 921
Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion
Czech. Math. J. 56 (131) (2006), 579-586
MR 2 291 757
Space-time regularity of solutions of the parabolic stochastic Cauchy problem
Stoch. Anal. Appl. 24 (2006), 843-869
MR 2 241 096
Invariant measures for the linear stochastic Cauchy problem and R-boundedness of the resolvent
J. Evolution Eq. 6 (2006), 205-228
MR 2 227 694
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup
Electr. Comm. Probab. 11 (2006), 24-34
MR 2 211 424
On the stochastic Fubini theorem in infinite dimensions
In: "Stochastic Partial Differential Equations and Applications - VII" (Levico Terme, 2004)
Lecture Notes in Pure and Applied Mathematics, Volume 245, Chapman & Hall/CRC, 2005, 323-336
MR 2 227 239
Weak limits and integrals of Gaussian covariances in Banach spaces
Probab. Math. Statist. 25 (2005), 55-74
MR 2 211 356
Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups
J. Evolution Eq. 5 (2005), 557-576
MR 2 201 527
Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8 (2005), 473-496
MR 2 172 310
On the action of Lipschitz functions on vector-valued random sums
Archiv Math. (Basel) 85 (2005), 544-553
MR 2006i:46013
Separated sequences in uniformly convex Banach spaces
Colloq. Math. 102 (2005), 147-153
MR 2005m:46023
Null controllability and the algebraic Riccati equation in Banach spaces
SIAM J. Control Optim. 43 (2005), 1313-1327
MR 2005k:93021
Stochastic integration of functions with values in a Banach space
Studia Math. 166 (2005), 131-170
MR 2005j:60107
A Lie-Trotter product formula for Ornstein-Uhlenbeck semigroups in infinite dimensions
J. Evolution Eq. 4 (2004), 53-73
MR 2004m:60139
Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise
J. Math. Kyoto Univ. 43 (2003), 275-317
MR 2005c:60077
Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces
In: "Evolution Equations 2000" (Levico Terme, 2000)
Progr. Nonlinear Differential Equations Appl., Vol.55, Birkhäuser, 2003, 97-102
MR 2004k:60161
Transition semigroups of Banach space valued Ornstein-Uhlenbeck processes
Acta Applicandae Math. 76 (2003), 283-330 (Revised version)
MR 2004b:47075
On closability of directional gradients
Potential Anal. 18 (2003), 289-310
MR 2004a:60107
Approximating Bochner integrals by Riemann sums
Indag. Math. N.S. 13 (2002), 197-208
MR 2004j:28020
Lower semicontinuity and the theorem of Datko and Pazy
Integral Eq. Operator Th. 42 (2002), 482-492
MR 2003i:47044
On individual stability of C_0-semigroups
Proc. Amer. Math. Soc. 130 (2002), 2325-2333
MR 2003a:47094
Uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces
In: "Recent Advances in Operator Theory and Related Topics: The Béla Szökefalvi-Nagy Memorial Volume"
Operator Theory: Advances and Applications, Vol. 127, Birkhäuser, 2001, 491-517
MR 2003d:60115
Banach space valued Ornstein-Uhlenbeck processes indexed by the circle
In: "Evolution Equations and their Applications in Physical and Life Sciences" (Bad Herrenalb, 1998)
Lecture Notes in Pure and Applied Mathematics, Vol. 215, Marcel Dekker, 2000, 435-452
MR 2002e:60052
The vector-valued Loomis theorem for the half-line and individual stability of C_0-semigroups: a counterexample
Semigroup Forum 60 (2000), 271-283
MR 2002b:47082
Continuity and representation of Gaussian Mehler semigroups
Potential Anal. 13 (2000), 199-211
MR 2002a:47066
Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
Studia Math. 143 (2000), 43-74
MR 2001m:60143
Asymptotic behaviour of C_0-semigroups with bounded local resolvents
Math. Nachr. 219 (2000), 65-83
MR 2001i:47065
Equivalence of Banach space-valued Ornstein-Uhlenbeck processes
Stoch. Stoch. Reports 69 (2000), 77-94
MR 2000m:60039
Norm discontinuity of Ornstein-Uhlenbeck semigroups
Semigroup Forum 59 (1999), 389-403
MR 2002g:47090
Sandwiching C_0-semigroups
J. London Math. Soc. 60 (1999), 581-588
MR 2000g:47049
B-convexity, the analytic Radon-Nikodym property, and individual stability of C_0-semigroups
J. Math. Anal. Appl. 231 (1999), 1-20
MR 2000i:47077
On the existence and growth of mild solutions of the abstract Cauchy problem for operators with polynomially bounded resolvent
Houston J. Math. 24 (1998), 137-172
MR 2001a:34103
The norm of a complex Banach lattice
Positivity 1 (1998), 383-392
MR 2000j:46035
Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces
J. Funct. Anal. 155 (1998), 495-535
MR 99h:60083
Robust stability of C_0-semigroups and an application to stability of delay equations
J. Math. Anal. Appl. 226 (1998), 82-100
MR 99g:47092
On small solutions of delay equations in infinite dimensions
Integral Eq. Operator Th. 31 (1998), 178-185.
MR 99c:34181
Ditkin's condition for certain Beurling algebras
Proc. Am. Math. Soc. 126 (1998), 1397-1407
MR 98k:43009
Tauberian theorems and stability of solutions of the Cauchy problem
Trans. Amer. Math. Soc. 350 (1998), 2087-2103
MR 98h:47055
Local spectra and individual stability of uniformly bounded C_0-semigroups
Trans. Amer. Math. Soc. 350 (1998), 2071-2085
MR 98h:47054
Elementary operator-theoretic proof of Wiener's Tauberian theorem
Rendic. Istit. Matem. Univ. Trieste., Suppl. Vol. XXVIII (1997), 281-286
MR 99a:47058
Polynomially bounded operators whose spectrum on the unit circle has measure zero
Acta Sci. Math. (Szeged) 63 (1997), 559-570
MR 99a:47007
Individual stability of C_0-semigroups with uniformly bounded local resolvent
Semigroup Forum 53 (1996), 155-161
MR 97h:47036
Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
Arch. Math. (Basel) 66 (1996), 406-416
MR 97c:47046
Characterization of exponential stability of a semigroup of operators in terms of its action by convolution on vector-valued function spaces over R_+
J. Differential Equations 124 (1996), 324-342
MR 96k:47074
On the asymptotic behaviour of a semigroup of linear operators
Indag. Math. (N.S.) 6 (1995), 453-476
MR 96k:47073
Weak measurability of the orbits of an adjoint semigroup
In: "Evolution Equations" (Baton Rouge, LA, 1992)
Lecture Notes in Pure and Appl. Math., Vol. 168, Marcel Dekker, 1995, 327-336
MR 95h:47058
On the orbits of an operator with spectral radius one
Czechoslovak Math. J. 45 (120) (1995), 495-502
MR 96f:47009
Exponential stability of operators and operator semigroups
J. Funct. Anal. 130 (1995), 293-309
MR 96f:47006
Remark on a theorem of Riddle, Saab, and Uhl
Quaestiones Math. 17 (1994), 183-187
MR 95e:46058
The adjoint of a positive semigroup
Compositio Math. 90 (1994), 99-118
MR 95b:47048
Abstract multiplication semigroups
Math. Z. 213 (1993), 1-15
MR 94e:47052
Some recent results on adjoint semigroups
CWI Quarterly 6 (1993), 139-153
MR 94e:47051
A dichotomy theorem for the adjoint of a semigroup of operators
Proc. Amer. Math. Soc. 119 (1993), 765-774
MR 93m:47044
Adjoints of semigroups acting on vector-valued function spaces
Israel J. Math. 77 (1992), 305-333
MR 94f:47043
A converse of Lotz's theorem on uniformly continuous semigroups
Proc. Amer. Math. Soc. 116 (1992), 525-527
MR 92m:47077
Reflexivity, the dual Radon-Nikodym property, and continuity of adjoint semigroups II
Indag. Math. (N.S.) 2 (1991), 243-250
MR 93f:47047
On the topology induced by the adjoint of a semigroup of operators
Semigroup Forum 43 (1991), 378-394
MR 93e:47049
Certain semigroups on Banach function spaces and their adjoints
In: Semigroup Theory and Evolution Equations (Delft, 1989)
Lecture Notes in Pure and Appl. Math., Vol. 135, Marcel Dekker, 1991, 383-390
MR 93d:47078
Reflexivity, the dual Radon-Nikodym property, and continuity of adjoint semigroups
Indag. Math. (N.S.) 1 (1990), 365-379
MR 92k:46019
Hahn-Banach type theorems for adjoint semigroups
Math. Ann. 287 (1990), 63-71
MR 91e:47042
Biology:
Chaos or noise in EEG signals; dependence on state and brain site
Electroenceph. and Clin. Neurophys. 79 (1991), 371-381
Cellular and network mechanisms in the kindling model of epilepsy: the role of GABA-ergic inhibition and the emergence of strange attractors
In: "Machinery of the Mind", Chapter 6, Birkhäuser, Basel, 1990, 115-139
Recreational:
Van Fourier transformaties tot stochastische differentiaalvergelijkingen
MaCHazine 12 (4) 2008, 32-34 (in Dutch)
De wiskunde van kleurplaten
MaCHazine 7 (2) 2003, 12-15 (in Dutch)
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J.A.P. Heesterbeek, J.M.A.M. van Neerven, and H.A.J.M. Schellinx
Das Fegefeuer Theorem (De Purgatorio). Eschatologische Axiomatik zum Theoretischen Sündenmanagement Faude, Konstanz, 1992 |
The nature of fractal geometry
CWI Quarterly 3 (1990), 137-149
MR 91j:58091
Several elementary proofs that 0=1
Nieuw Archief voor Wiskunde, 4e Serie, Deel 8 (1990), 253-256