A+ CATEGORY SCIENTIFIC UNIT

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

Volume 111 / 2014

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

Abstract

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.

Authors

  • 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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