Spectrum of the heat equation with memory

2009/12/09 by S. Ivanov, Ivanov, S., T. Sheronova +1
Mathematics · #30D10 #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP) #math.CV #math.SP #msc:30D10

paper · pdf · doi:10.48550/arxiv.0912.1818

10 pages, 2 figures

arxiv created 2010/02/15 · arxiv updated 2010/02/26

Abstract

We consider the Gurtin-Pipkin equation of the first order in time. For the kernel as a series of exponentials we obtain the structure of the spectrum of the system.

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