Geodesic
A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations
Applications of Mathematics, Tome 44 (1999) no. 6, pp. 481-496.

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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.
DOI : 10.1023/A:1022229022563
Classification : 35K22, 35K55, 65J10, 65M70
Keywords: PDE’s of evolution; method of Rothe 
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     title = {A comment on the {J\"ager-Ka\v{c}ur's} linearization scheme for strongly nonlinear parabolic equations},
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     pages = {481--496},
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Vala, Jiří. A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations. Applications of Mathematics, Tome 44 (1999) no. 6, pp. 481-496. doi : 10.1023/A:1022229022563. http://geodesic.mathdoc.fr/articles/10.1023/A:1022229022563/

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