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

• Autorzy: Agnieszka Bartłomiejczyk
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 35R10: Partial functional-differential equations
• 35K10: Second-order parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 3
• Strony: 247-263

Daty

wydano

2007

Twórcy

autor

Agnieszka Bartłomiejczyk

• Department of Applied Mathematics, Technical University of Gdańsk, Gabriela Narutowicza 11/12, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap90-3-5