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

Volume 90 / 2007

Agnieszka Bart/lomiejczyk Annales Polonici Mathematici 90 (2007), 247-263 MSC: 35K10, 35K15, 35R10. DOI: 10.4064/ap90-3-5


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.


  • Agnieszka Bart/lomiejczykDepartment of Applied Mathematics
    Technical University of Gda/nsk
    Gabriela Narutowicza 11/12
    80-952 Gda/nsk, Poland

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