Application of Rothe's method to parabolic variational inequalities

Igor Bock; Jozef Kačur

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 4, page 429-436
  • ISSN: 0139-9918

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Bock, Igor, and Kačur, Jozef. "Application of Rothe's method to parabolic variational inequalities." Mathematica Slovaca 31.4 (1981): 429-436. <http://eudml.org/doc/32028>.

@article{Bock1981,
author = {Bock, Igor, Kačur, Jozef},
journal = {Mathematica Slovaca},
keywords = {monotone operators; coercivity; variational inequality; Rothe's method; evolution equation; Gel'fand triple; existence; uniqueness; approximation},
language = {eng},
number = {4},
pages = {429-436},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Application of Rothe's method to parabolic variational inequalities},
url = {http://eudml.org/doc/32028},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Bock, Igor
AU - Kačur, Jozef
TI - Application of Rothe's method to parabolic variational inequalities
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 4
SP - 429
EP - 436
LA - eng
KW - monotone operators; coercivity; variational inequality; Rothe's method; evolution equation; Gel'fand triple; existence; uniqueness; approximation
UR - http://eudml.org/doc/32028
ER -

References

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  1. BREZIS H., Equations et inéquations non linéaires les espaces vectoriels en dualité, Annales Institut Fourier, Grenoble 18, 1, 1968, 115-175. (1968) MR0270222
  2. BREZIS H., Problèmes unilatéraux, Journal de Math. pures et appl., 51, 1972, 1-168. (1972) Zbl0237.35001MR0428137
  3. LIONS J. L., Quelques méthodes de гésolution des pгoblèmes aux limites non linéaires, Dunod--Gauthier-Villars, Paris 1969. (1969) MR0259693
  4. DUVAUT G., LIONS J. L., Inequalities in Mechanics and Physics, Spгinger Verlag, 1976. (1976) Zbl0331.35002MR0521262
  5. ROTH E., Zweidimensionale parabolische Randweгtaufgaben als Grenzfall eindimensionaler Randweгtaufgaben, Math. Ann., 102, 1930. (1930) 
  6. REKTORYS K., On Application of Direct Variational Methods to the Solution of Paгabolic Boundary Value Problems of Arbitrary Order in the Space Variables, Czech. Math. J., 21 (96), 1971, 318-339. (1971) MR0298237
  7. NEČAS J., Application of Rothes Method to Abstract Parabolic Equations, Czech. Math. J., 24 (99), 1974, 496-500. (1974) MR0348571
  8. KAČUR J., Application of Rothes Method to Nonlinear Evolution Equations, Mat. Čas. 25, 1975, 63-81. (1975) MR0394344
  9. KAČUR J., Method of Rothe and Nonlinear Parabolic Boundary value problems of Arbitrary Order, Czech. Math. J., 28 (103), 1978, 507-524. (1978) Zbl0402.35053MR0506431
  10. KAČUR J., WAWRUCH A., On an Approximatte Solution for quasilinear Paгabolic Equations, Czech. Math. J., 27 (102), 1977, 220-241. (1977) MR0605665
  11. KOMURA Y., Nonlinear Semigroups in Hilbeгt Spaces, J. Math. Soc. Japan, 19 (1967), 493-507. (1967) 

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