Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations

• Autorzy: Agnieszka Bartłomiejczyk , Henryk Leszczyński
• Języki publikacji: EN

Abstrakty

EN

We consider the Cauchy problem for nonlinear parabolic equations with functional dependence. We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 3
• Strony: 309-326

Daty

wydano

2014

Twórcy

autor

Agnieszka Bartłomiejczyk

• Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland

autor

Henryk Leszczyński

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap111-3-7