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

Agnieszka Bartłomiejczyk; Henryk Leszczyński

doi:10.4064/ap111-3-7

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

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

Tom 111 / 2014

Agnieszka Bartłomiejczyk, Henryk Leszczyński Annales Polonici Mathematici 111 (2014), 309-326 MSC: 35R10, 35K15. DOI: 10.4064/ap111-3-7

Streszczenie

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.

Autorzy

Agnieszka BartłomiejczykFaculty of Applied Physics and Mathematics
Gdańsk University of Technology
Gabriela Narutowicza 11/12
80-233 Gdańsk, Poland
e-mail
Henryk LeszczyńskiInstitute of Mathematics
University of Gdańsk
Wita Stwosza 57
80-952 Gdańsk, Poland
e-mail

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