Hysteresis operators - a new approach to evolution differential inequalities

Pavel Krejčí

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 3, page 525-536
  • ISSN: 0010-2628

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Krejčí, Pavel. "Hysteresis operators - a new approach to evolution differential inequalities." Commentationes Mathematicae Universitatis Carolinae 030.3 (1989): 525-536. <http://eudml.org/doc/17766>.

@article{Krejčí1989,
author = {Krejčí, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {free boundary problem; evolution differential inequalities; relaxation- hysteresis operators; phase transitions; elasto-plastic vibrations},
language = {eng},
number = {3},
pages = {525-536},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Hysteresis operators - a new approach to evolution differential inequalities},
url = {http://eudml.org/doc/17766},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Krejčí, Pavel
TI - Hysteresis operators - a new approach to evolution differential inequalities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 3
SP - 525
EP - 536
LA - eng
KW - free boundary problem; evolution differential inequalities; relaxation- hysteresis operators; phase transitions; elasto-plastic vibrations
UR - http://eudml.org/doc/17766
ER -

References

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  1. Brokate M., Some BV-properties of the Preisach hysteresis operators, Preprint. Zbl0666.47040MR1030097
  2. Brokate M., Visintin A., Properties of the Preisach model for hysteresis, Preprint. Zbl0682.47034MR1022792
  3. Duvaut G., Lions J.-L., Les inéquations en mécanique et en physique, Dunod, Paris, 1972. (1972) Zbl0298.73001MR0464857
  4. Krasnoselskii M. A., Pokrovskii A. V., Systems with hysteresis, (Russian), Nauka, Moscow, 1983. (1983) MR0742931
  5. Krejčí P., Hysterisis and periodic solutions to semilinear and quasilinear wave equations, Math. Z. 193 (1986), 247-264. (193) Zbl0658.35065MR0856153
  6. Krejčí P., On Ishlinskii's model for non-perfectly elastic bodies, Apl. Mat. 33 (1988), 133-144. (1988) Zbl0653.73013MR0940712
  7. Krejčí P., A monotonicity method for solving hyperbolic problems with hysteresis, Apl. Mat. 33 (1988), 197-203. (1988) Zbl0668.35065MR0944783
  8. Krejčí P., Existence and large time behaviour of solutions to equations with hysteresis, Preprint MU ČSAV 21 (1986). (1986) 
  9. Krejčí P., On Maxwell equations with the Preisach hysteresis operator: the one-dimensional time-periodic case, Apl. Mat. 34 (1989,), no. 3 (in print). (1989) Zbl0701.35098MR1014077
  10. Krejčí P., Lovicar V., Continuity of hysteresis operators in Sobolev spaces, Apl. Mat. (to appear). Zbl0705.47054MR1039411
  11. Visintin A., On the Preisach model for hysteresis, Nonlin. Anal. 9 (1984), 977-996. (1984) Zbl0563.35007MR0760191
  12. Visintin A., Rheological models and hysteresis effects, Rend. Sem. Mat. Univ. Padova 77 (1987), 213-243. (1987) Zbl0633.73001MR0904623
  13. Hilpert M., On uniqueness for evolution problems with hysteresis, Report No. 119, Universität Augsburg, 1989. (1989) Zbl0701.35009MR1038080

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