A generalized maximum principle and estimates of max vrai u for nonlinear parabolic boundary value problems

Jozef Kačur

Czechoslovak Mathematical Journal (1976)

  • Volume: 26, Issue: 4, page 507-526
  • ISSN: 0011-4642

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Kačur, Jozef. "A generalized maximum principle and estimates of max vrai $u$ for nonlinear parabolic boundary value problems." Czechoslovak Mathematical Journal 26.4 (1976): 507-526. <http://eudml.org/doc/12963>.

@article{Kačur1976,
author = {Kačur, Jozef},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {507-526},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalized maximum principle and estimates of max vrai $u$ for nonlinear parabolic boundary value problems},
url = {http://eudml.org/doc/12963},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Kačur, Jozef
TI - A generalized maximum principle and estimates of max vrai $u$ for nonlinear parabolic boundary value problems
JO - Czechoslovak Mathematical Journal
PY - 1976
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 4
SP - 507
EP - 526
LA - eng
UR - http://eudml.org/doc/12963
ER -

References

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  1. J. Kаčur, Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order. (I, II) 
  2. J. Kаčur, Application of Rothe's method to nonlinear evolution equations, Mat. Časopis Sloven. Akad. Vied, 25, (1975), N-1, 63-81. (1975) MR0394344
  3. П. П. Мосолов, Вариационные методы в нестационарных задачах, (Параболический случай) Изв. АН СССР, 34 (№ 1970), 425-457. (1970) Zbl1170.92319MR0270245
  4. K. Rektorys, On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables, Czech. Math. Journal, 21 (96) 1971, 318-339. (1971) Zbl0217.41601MR0298237
  5. O. A. Ладыженская, Решение в целом первой краевой задачи для квазилинейных парабoлических уравнений, ДАН СССР 107. 1956, 635-639. (1956) Zbl0075.23003
  6. J. Kаčur, On existence of the weak solution for non-linear partial differential equations of elliptic type. I, Comment. Math. Univ. Carolinae, 11, 1 (1970), 137-181. (1970) MR0301357
  7. J. Kаčur, On existence of the weak solution for non-linear partial differential equations of elliptic type. II, Comment. Math. Univ. Carolinae, 13, 2 (1972), 211 - 225. (1972) MR0308590
  8. J. Nečas, Les méthodes directes en théorie équations elliptiques, Prague, 1967. (1967) MR0227584
  9. A. Friedman, Partial differential equations of parabolic type, Prentice-Hall, INC, 1964. (1964) Zbl0144.34903MR0181836
  10. O. A. Ладыженcкая В. А. Солонников Н. Н. Уральцева, Линейные и квазилинейные уравнения параболического типа, ,,Наука", Москва 1967. (1967) Zbl1204.62024
  11. J. Kаčur, On boundedness of the weak solution for some class of quasilinear partial differential equations, Časopis Pěst. Mat., 98 (1973), 43 - 55. (1973) MR0316889
  12. M. A. Красносельский, Топологические методы в теории нелинейных интегральных уравнений, Москва, 1956. (1956) Zbl0995.90522

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