Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
Agnieszka Bartłomiejczyk
Annales Polonici Mathematici, Tome 92 (2007), p. 247-263 / Harvested from The Polish Digital Mathematics Library
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We consider the Cauchy problem for nonlinear parabolic equations with functional dependence represented by the Hale functional acting on the unknown function and its gradient. We prove convergence theorems for a general quasilinearization method in natural subclasses of unbounded solutions.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280715 
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     volume = {92},
     year = {2007},
     pages = {247-263},
     zbl = {1112.35094},
     language = {en},
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Agnieszka Bartłomiejczyk. Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case. Annales Polonici Mathematici, Tome 92 (2007) pp. 247-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap90-3-5/