A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations

Jiří Vala

Applications of Mathematics (1999)

  • Volume: 44, Issue: 6, page 481-496
  • ISSN: 0862-7940

Abstract

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The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.

How to cite

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Vala, Jiří. "A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations." Applications of Mathematics 44.6 (1999): 481-496. <http://eudml.org/doc/33044>.

@article{Vala1999,
abstract = {The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.},
author = {Vala, Jiří},
journal = {Applications of Mathematics},
keywords = {PDE’s of evolution; method of Rothe; evolutionary partial differential equations; Rothe method},
language = {eng},
number = {6},
pages = {481-496},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations},
url = {http://eudml.org/doc/33044},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Vala, Jiří
TI - A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 6
SP - 481
EP - 496
AB - The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.
LA - eng
KW - PDE’s of evolution; method of Rothe; evolutionary partial differential equations; Rothe method
UR - http://eudml.org/doc/33044
ER -

References

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  11. Solution to strongly nonlinear parabolic problem by a linear approximation scheme, Preprint M2-96, Comenius University (Faculty of Mathematics and Physics), Bratislava, 1996. (1996) MR1670689
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  15. Functional Analysis, Mir, Moscow, 1967. (Russian) (1967) Zbl0152.32102MR0225130

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