Blow-up results for some reaction-diffusion equations with time delay

• Autorzy: Hongliang Wang , Yujuan Chen , Haihua Lu
• Języki publikacji: EN

Abstrakty

EN

We discuss the effect of time delay on blow-up of solutions to initial-boundary value problems for nonlinear reaction-diffusion equations. Firstly, two examples are given, which indicate that the delay can both induce and prevent the blow-up of solutions. Then we show that adding a new term with delay may not change the blow-up character of solutions.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35A01: Existence problems: global existence, local existence, non-existence
• 35B44: Blow-up
• 34K50: Stochastic functional-differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 1
• Strony: 21-29

Daty

wydano

2012

Twórcy

autor

Hongliang Wang

• School of Science, Nantong University, Nantong 226007, P.R. China

autor

Yujuan Chen

• School of Science, Nantong University, Nantong 226007, P.R. China

autor

Haihua Lu

• School of Science, Nantong University, Nantong 226007, P.R. China

Identyfikatory

DOI

10.4064/ap105-1-3