Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions

Jozef Kačur

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 3, page 213-237
  • ISSN: 0139-9918

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Kačur, Jozef. "Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions." Mathematica Slovaca 30.3 (1980): 213-237. <http://eudml.org/doc/34085>.

@article{Kačur1980,
author = {Kačur, Jozef},
journal = {Mathematica Slovaca},
keywords = {nonlinear second order parabolic equation; mixed and nonstationary boundary conditions; existence and uniqueness; approximate solution},
language = {eng},
number = {3},
pages = {213-237},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions},
url = {http://eudml.org/doc/34085},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Kačur, Jozef
TI - Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 3
SP - 213
EP - 237
LA - eng
KW - nonlinear second order parabolic equation; mixed and nonstationary boundary conditions; existence and uniqueness; approximate solution
UR - http://eudml.org/doc/34085
ER -

References

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  1. БAPKOBCKИЙ B. B., КУЛЬЧИЦКИЙ B. Л., Oбoбщeнныe peшeния нeкoтopыx cмeшaнныx кpaeвыx зaдaч для ypaвнeния Шpeдингepa. Линeйныe и нeлинeйныe кpaeвыe зaдaчи, Издaниe Инcтитyтa мaтeмaтики AH УCCP, Киeв, 1971 г. (1971) 
  2. KУЛЬЧИЦKИЙ B. Л, O глaдкocти oбoбщeнныx peшeний нeкoтopыx cмeшaнныx кpaeвыx зaдaч для ypaвнeния Шpeдингepa. Лмнeйныe и нeлинeйныe кpaeвыe зaдaчи, Издaниe Инститyтa мaтeмaтики AH УCCP, Kиeв, 1971 г. (1971) 
  3. LIONS J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthieг-Villars, Paris 1969. (1969) Zbl0189.40603MR0259693
  4. REKTORYS K., On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables, Czech. Math. J. 21 (96), 1971, 318-339. (1971) Zbl0217.41601MR0298237
  5. KAČUR J., Method of Rothe and nonlinear parabolic equаtions of arbitгary order, I, II, Czech. Math. J. 
  6. NEČAS J., Application of Rothe's method to abstract parabolic equatioпs, Czech. Math. J. 24 (99), 1974, 496-500. (1974) MR0348571
  7. KAČUR J., Application of Rothe's method to nonlinear evolution equations, Mat. Čas. 25, 1975, 63-81. (1975) Zbl0298.34058MR0394344
  8. KAČUR J., WAWRUCH A., On an approximate solution for quasilinear parabolic equations, Czech. Math. J. 27 (102), 1977, 220-241. (1977) Zbl0377.35036MR0605665
  9. NEČAS J., Les méthodes directes en théorìe des équations elliptiques, Prague 1967. (1967) Zbl1225.35003MR0227584
  10. BARBU V., Nonlinear semigroups and differential equations in Banach spaces, Nooгdhoff Int. Publ., Leyden 1976. (1976) Zbl0328.47035MR0390843

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