Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case

Agnieszka Bartłomiejczyk

Annales Polonici Mathematici (2007)

  • Volume: 90, Issue: 3, page 247-263
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Agnieszka Bartłomiejczyk. "Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case." Annales Polonici Mathematici 90.3 (2007): 247-263. <http://eudml.org/doc/280715>.

@article{AgnieszkaBartłomiejczyk2007,
abstract = {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.},
author = {Agnieszka Bartłomiejczyk},
journal = {Annales Polonici Mathematici},
keywords = {iterative method; convergence theorems},
language = {eng},
number = {3},
pages = {247-263},
title = {Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case},
url = {http://eudml.org/doc/280715},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Agnieszka Bartłomiejczyk
TI - Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 3
SP - 247
EP - 263
AB - 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.
LA - eng
KW - iterative method; convergence theorems
UR - http://eudml.org/doc/280715
ER -

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