On an approximate solution for quasilinear parabolic equations
Czechoslovak Mathematical Journal (1977)
- Volume: 27, Issue: 2, page 220-241
- ISSN: 0011-4642
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topKačur, Jozef, and Wawruch, Alojz. "On an approximate solution for quasilinear parabolic equations." Czechoslovak Mathematical Journal 27.2 (1977): 220-241. <http://eudml.org/doc/12997>.
@article{Kačur1977,
author = {Kačur, Jozef, Wawruch, Alojz},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {220-241},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an approximate solution for quasilinear parabolic equations},
url = {http://eudml.org/doc/12997},
volume = {27},
year = {1977},
}
TY - JOUR
AU - Kačur, Jozef
AU - Wawruch, Alojz
TI - On an approximate solution for quasilinear parabolic equations
JO - Czechoslovak Mathematical Journal
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 220
EP - 241
LA - eng
UR - http://eudml.org/doc/12997
ER -
References
top- 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. J., 21 (96) 1971, 318-339. (1971) Zbl0217.41601MR0298237
- J. Kačur, Method of Rothe and nonlinear parabolic equations of arbitrary order. I, II, Czech. Math. J., to appear.
- J. Nečas, Application of Rothe's method to abstract parabolic equations, Czech. Math. J., Vol. 24 (99) (1974), No 3, 496-500. (1974) Zbl0311.35059MR0348571
- J. Kačur, Application of Rothe's method to nonlinear evolution equations, Mat. Časopis Sloven. Akad. Vied, 25, 1975, No 1, 63-81. (1975) Zbl0298.34058MR0394344
- E. Rothe, 10.1007/BF01782368, Math. Ann. 102, 1930. (1930) MR1512599DOI10.1007/BF01782368
- A. M. Ильин А. С. Калашников О. А. Олейник, Линейные уравнения второго порядка параболического типа, УМH 17, вып. 3, 1962, 3-146. (1962) Zbl1226.30001MR0146454
- J. Nečas, Les méthodes directes en théorie des équations elliptiques, Prague, 1967. (1967) MR0227584
- J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Paris, 1969. (1969) Zbl0189.40603MR0259693
- Л. A. Люстерник В. И. Соболев, Элементы функционального анализа, Москва 1965. (1965) Zbl1225.00032
- K. Yosida, Functional analysis, Springer-Verlag, 1965. (1965) Zbl0126.11504
- J. Douglas T. Dupond, 10.1137/0707048, SIAM J. Numer. Anal., vol. 7, N-4, December 1970. (1970) MR0277126DOI10.1137/0707048
- H. Gajewski K. Gröger K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Berlin, 1974. (1974) MR0636412
Citations in EuDML Documents
top- Karel Rektorys, Marie Ludvíková, A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method
- Jozef Kačur, Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
- Jozef Kačur, Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions
- Milan Pultar, Solutions of abstract hyperbolic equations by Rothe method.
- Marián Slodička, Parabolic partial differential equations with memory
- Jozef Kačur, Alexander Ženíšek, Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems
- Igor Bock, Jozef Kačur, Application of Rothe's method to parabolic variational inequalities
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