Quasilinearization methods for
nonlinear differential-functional
parabolic equations: unbounded case
Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 247-263
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
consider cauchy problem nonlinear parabolic equations functional dependence represented hale functional acting unknown function its gradient prove convergence theorems general quasilinearization method natural subclasses unbounded solutions
Affiliations des auteurs :
Agnieszka Bart/lomiejczyk 1
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author = {Agnieszka Bart/lomiejczyk},
title = {Quasilinearization methods for
nonlinear differential-functional
parabolic equations: unbounded case},
journal = {Annales Polonici Mathematici},
pages = {247--263},
publisher = {mathdoc},
volume = {90},
number = {3},
year = {2007},
doi = {10.4064/ap90-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-5/}
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Agnieszka Bart/lomiejczyk. Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case. Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 247-263. doi: 10.4064/ap90-3-5
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