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A. Books and book chapters
[A1] P. Krejci: Hysteresis, Convexity and Dissipation in Hyperbolic Equations. Gakuto Int. Series Math. Sci. & Appl., Vol. 8, Gakkotosho, Tokyo 1996.
[A2] P. Drabek, P. Krejci, P. Takac: Nonlinear differential equations. Research Notes in Mathematics, Vol. 404, Chapman & Hall/CRC, London, 1999 (cf. [C14] below).
[A3] P. Krejci:
Long-time behavior of solutions to hyperbolic equations with hysteresis.
In: Evolutionary equations. Vol. II, 303--370, Handb. Differ. Equ.
(C. Dafermos and E. Feireisl, Eds.),
Elsevier/North-Holland, Amsterdam, 2005.
B. Research papers
[B01] P. Krejci: On solvability of equations of the 4th order with jumping nonlinearities. Cas. Pest. Mat. 108 (1983), 29--39.
[B02] P. Krejci: Hard implicit function theorem and small periodic solutions to partial differential equations. Comment. Math. Univ. Carolinae 25,3 (1984), 519--536.
[B03] P. Krejci: Periodic solutions of a class of abstract nonlinear equations of the second order. Cas. Pest. Mat. 110 (1985), 122--129.
[B04] P. Krejci: Periodic solutions to Maxwell equations in nonlinear media. Czechoslovak Math. J. 36 (111) (1986), 238--258.
[B05] P. Krejci: Hysteresis and periodic solutions of semilinear and quasilinear wave equations. Math. Z. 193 (1986), 247--264.
[B06] P. Krejci: Periodic solutions to a parabolic equation with hysteresis. Math. Z. 194 (1987), 61--70.
[B07] P. Krejci: On Ishlinskii's model for non-perfectly elastic bodies . Apl. Mat. 33 (1988), 133--144.
[B08] P. Krejci: Forced periodic vibrations of an elastic system with elastico-plastic damping. Apl. Mat. 33 (1988), 145--153.
[B09] P. Krejci: A monotonicity method for solving hyperbolic problems with hysteresis. Apl. Mat. 33 (1988), 197--203.
[B10] P. Krejci: On Maxwell equations with the Preisach hysteresis operator: the one-dimensional time-periodic case. Apl. Mat. 34 (1989), 364--374.
[B11] P. Krejci: Hysteresis operators - a new approach to evolution differential inequalities. Comment. Math. Univ. Carolinae 33,3 (1989), 525--536
[B12] P. Krejci, V. Lovicar: Continuity of hysteresis operators in Sobolev spaces. Apl. Mat. 35 (1990), 60--66.
[B13] P. Krejci, O. Vejvoda: A note to a bifurcation result of H. Kielhofer for the wave equation. Math. Bohem. 116 (1991), 245--247.
[B14] P. Krejci: Hysteresis memory preserving operators. Appl. Math. 36 (1991), 305--326.
[B15] P. Krejci: Vector hysteresis models. Euro. Jnl. Appl. Math. 2 (1991), 281--292.
[B16] P. Krejci: Global behaviour of solutions to the wave equation with hysteresis. Adv. Math. Sci. Appl. 2 (1993), 1--23.
[B17] P. Krejci: Modelling of singularities in elastoplastic materials with fatigue. Appl. Math. 39 (1994), 137--160.
[B18] M. Brokate, K. Dressler, P. Krejci: On the Mroz model. Euro. Jnl. Appl. Math. 7 (1996), 473--497.
[B19] M. Brokate, K. Dressler, P. Krejci: Rainflow counting and energy dissipation for hysteresis models in elastoplasticity. Euro. J. Mech. A/Solids 15 (1996), 705--735.
[B20] P. Krejci, I. Straskraba: A uniqueness criterion for the Riemann problem. Hiroshima Math. J. 27 (1997), 307--346.
[B21] P. Krejci , J. Sprekels: On a system of nonlinear PDE's with temperature-dependent hysteresis in one-dimensional thermoplasticity. J. Math. Anal. Appl. 209 (1997), 25--46.
[B22] M. Brokate, P. Krejci: Maximum norm wellposedness of nonlinear kinematic hardening models. Cont. Mech. & Ther. 9 (1997), 365--380.
[B23] M. Brokate, P. Krejci: Wellposedness of kinematic hardening models in elastoplasticity. Math. Model. Num. Anal. (M2AN) 32 (1998), 177--209.
[B24] P. Krejci, J. Sprekels: Global solutions to a coupled parabolic-hyperbolic system with hysteresis in 1-D magnetoelasticity. Nonlin. Anal. 33 (1998), 341--358.
[B25] P. Krejci, J. Sprekels: Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity. Appl. Math. 43 (1998), 173--205.
[B26] P. Krejci, J. Sprekels: Hysteresis operators in phase-field models of Penrose-Fife type. Appl. Math. 43 (1998), 207--222.
[B27] M. Brokate, P. Krejci, D. Rachinskii: Some analytical properties of the multidimensional continuous Mroz model of plasticity. Control & Cybernetics 27 (1998), 199--215.
[B28] P. Krejci, J. Sprekels: A hysteresis approach to phase-field models. Nonlin. Anal. 39 (2000), 569--586.
[B29] P. Krejci, J. Sprekels: Phase-field models with hysteresis. J. Math. Anal. Appl. 252 (2000), 198--219.
[B30] P. Krejci: A remark on the local Lipschitz continuity of vector hysteresis operators. Appl. Math. 46 (2001), 1--11.
[B31] G. Gilardi, P. Krejci, J. Sprekels: Hysteresis in phase-field models with memory. Math. Methods Appl. Sci. 23 (2000), 909--922.
[B32] P. Krejci: Resonance in Preisach systems. Appl. Math. 45 (2000), 439--468.
[B33] J. Francu, P. Krejci: Homogenization of scalar wave equations with hysteresis. Cont. Mech. & Ther. 11 (1999), 371--391.
[B34] P. Krejci, J. Sprekels, S. Zheng: Asymptotic behaviour for a phase-field system with hysteresis. J. Differential Equations 175 (2001), 88--107.
[B35] P. Krejci, A.A. Vladimirov: Lipschitz continuity of polyhedral Skorokhod maps. Z. Anal. Anw. 20 (2001), 817--844.
[B36] P. Krejci , K. Kuhnen: Inverse control of systems with hysteresis and creep. IEE Proc.--Control Theory Appl. 148 (2001), 185--192.
[B37] P. Krejci, Ph. Laurencot: Hysteresis filtering in the space of bounded measurable functions. Boll. Unione Mat. Ital. 5-B (2002), 755--772.
[B38] P. Krejci, J. Kurzweil: A nonexistence result for the Kurzweil integral. Math. Bohem. 127 (2002), 571--580.
[B39] P. Krejci, Ph. Laurencot: Generalized variational inequalities. J. Convex Anal. 9 (2002), 159--183.
[B40] P. Krejci, J. Sprekels: Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics. Math. Meth. Appl. Sci. 25 (2002), 309--325.
[B41] P. Krejci, J. Sprekels, U. Stefanelli: Phase-field models with hysteresis in one-dimensional thermo-visco-plasticity SIAM J. Math. Anal. 34 (2002), 409--434.
[B42] P. Krejci: Reliable solutions to the problem of periodic oscillations of an elastoplastic beam. Int. J. Nonlinear Mechanics 37 (2002), 1337--1349.
[B43] P. Krejci , A.A. Vladimirov: Polyhedral sweeping processes with oblique reflection in the space of regulated functions. Set-Valued Analysis 11(2003), 91--110.
[B44] P. Krejci , J. Sprekels: Parabolic regularization of differential inclusions and the stop operator. Interfaces and Free Boundaries 4 (2002), 423--435.
[B45] P. Krejci, J. Sprekels, U. Stefanelli: One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions Adv. Math. Sci. Appl. 13 (2003), 695--712.
[B46] P. Krejci , K. Kuhnen: Error estimates for the discrete inversion of hysteresis and creep operators. Int. J. Math. Comput. Simul. 61 (2003), 537--548.
[B47] P. Krejci: The Kurzweil integral with exclusion of negligible sets. Math. Bohem. 128 (2003), 277--292.
[B48] O. Klein, P. Krejci: Outwards pointing hysteresis operators and asymptotic behaviour of evolution equations. Nonlinear Anal. Real World Appl. 4 (2003), 755--785.
[B49] M. Brokate, P. Krejci: Duality in the space of regulated functions and the play operator. Math. Z. 245 (2003), 667--688.
[B50] M. Brokate, P. Krejci, H. Schnabel: On uniqueness in evolution quasivariational inequalities. J. Convex Anal. 11 (2004), 111--130.
[B51] P. Krejci, J. Sprekels: Nonlocal phase-field models for non-isothermal phase transitions and hysteresis. Adv. Math. Sci. Appl. 14 (2004), 593--612.
[B52] P. Krejci, K. Kuhnen: Identification of linear error-models with projected dynamical systems. Mathematical and Computer Modelling of Dynamical Systems 10 (2004), 59--91.
[B53] P. Krejci, J. Sprekels: Long time behaviour of a singular phase transition model. Discrete Contin. Dyn. Syst. 15 (2006), 1119--1135.
[B54] P. Krejci, J. Sainte-Marie, M. Sorine, J. M. Urquiza: Solutions to muscle fiber equations and their long time behaviour. Nonlinear Anal. Real World Appl. 7 (2006), 535--558.
[B55] P. Krejci, S. Zheng: Pointwise asymptotic convergence of solutions for a phase separation model. Discrete Contin. Dyn. Syst. 16 (2006), 1--18.
[B56] K. Kuhnen, P. Krejci: An adaptive gradient law with projection for non-smooth convex boundaries. Eur. J. Control 12 (2006), 606--619.
[B57] P. Colli, P. Krejci, E. Rocca, J. Sprekels: Nonlinear evolution equations arising from phase change models. Czechoslovak Math. J. 57 (2007), 1067--1098.
[B58] P. Krejci, E. Rocca, J. Sprekels: A nonlocal phase-field model with nonconstant specific heat. Interfaces and Free Boundaries 9 (2007), 285--306.
[B59] P. Krejci, E. Rocca, J. Sprekels: Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions. J. London Math. Soc. 76 (2007), 197--210.
[B60] P. Krejci, J. Sprekels: Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Math. Meth. Appl. Sci. 30 (2007), 2371--2393.
[B61] M. Eleuteri, P. Krejci: Asymptotic behavior of a Neumann parabolic problem with hysteresis. Z. Angew. Math. Mech. 87 (2007), 261--277.
[B62] M. Eleuteri, P. Krejci: An asymptotic convergence result for a system of partial differential equations with hysteresis. Communications Pure Appl. Anal. 6 (2007), 1131--1143.
[B63] R. Guenther, P. Krejci, J. Sprekels: Small strain oscillations of an elastoplastic Kirchhoff plate. Z. Angew. Math. Mech. 88 (2008), 199--217.
[B64] P. Krejci, J. Sprekels: Clamped elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators. Discrete Contin. Dyn. Syst.- S (DCDS-S) 1 (2008), 283--292.
[B65] M. Brokate, M. Eleuteri, P. Krejci: On a model for electromagnetic processes inside and outside a ferromagnetic body. Math. Methods Appl. Sci. 31 (2008), 1545--1567.
[B66] P. Krejci, K. Kuhnen: Existence, uniqueness and L-infinity stability of the Prandtl-Ishlinskii hysteresis and creep compensator. Eur. J. Control 14 (2008), 409--417.
[B67] P. Krejci, M. Liero: Rate independent Kurzweil processes. Appl. Math. 54 (2009), 117--145.
[B68] K. Kuhnen, P. Krejci: Compensation of complex hysteresis and creep effects in piezoelectrically actuated systems -- a new Preisach modeling approach. IEEE Transactions on Automatic Control 54 (2009), 537--550.
[B69] M. Eleuteri, J. Kopfova, P. Krejci: Magnetohydrodynamic flow with hysteresis. SIAM Journal on Mathematical Analysis 41 (2009), 435--464.
[B70] P. Krejci, E. Rocca, J. Sprekels:
A bottle in a freezer.
SIAM Journal on Mathematical Analysis 41 (2009), 1851--1873.
C. Selected conference and survey papers
[C01] P. Krejci: Asymptotic stability of periodic solutions to the wave equation with hysteresis. In: Models of Hysteresis (A. Visintin ed.), Longman, Harlow 1993, 77--90.
[C02] M. Brokate, P. Krejci: On the wellposedness of the Chaboche model. In: Control and Estimation of Distributed Parameter Systems (W. Desch, F. Kappel, K. Kunisch eds.). Proceedings of the conference held in Vorau (Austria), July 14--20, 1996. Int. Series Num. Math., Vol. 126, Birkhäuser, Basel 1998, 67--79.
[C03] P. Krejci, J.Sprekels: Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elasto-plasticity. EQUADIFF 9 - Proceedings (R.P. Agarwal, F. Neuman, J. Vosmansky eds.), Masaryk Univ., Brno 1998, 81--96.
[C04] P. Krejci: Evolution variational inequalities and multidimensional hysteresis operators. In: [A2], pp. 47--110.
[C05] P. Krejci: Regulated evolution quasivariational inequalities. Lectures held at the University of Pavia, May 2003.
[C06] P. Krejci: Applications of non-smooth mechanics in real analysis. Proceedings of the International Conference on Differential Equations EQUADIFF 2003 (Eds. F.\,Dumortier, H.\,Broer, J.\,Mawhin, A.\,Vanderbauwhede, S.\, Lunel), World Scientific Publishing Co., Singapore, 2005, 49--58.
[C07] P. Krejci: The hysteresis limit in relaxation oscillation problems. INTERNATIONAL WORKSHOP ON HYSTERESIS & MULTI-SCALE ASYMPTOTICS 17-21 March 2004, University College Cork, Ireland. Journal of Physics: Conference Series, Volume 22, 2005, 103--123.
[C08] P. Krejci: The Kurzweil integral and hysteresis. INTERNATIONAL WORKSHOP ON MULTI-RATE PROCESSES AND HYSTERESIS 3-8 April 2006, University College Cork, Ireland. Journal of Physics: Conference Series, Volume 55, 2006, 144--154.
[C09] P. Krejci:
Hysteresis rarefaction in the Riemann problem.
INTERNATIONAL WORKSHOP ON MULTI-RATE PROCESSES AND HYSTERESIS
March 31-April 5, 2008, University College Cork, Ireland.
Journal of Physics: Conference Series (to appear).
Last update May 26, 2009
