On the Linear Heat Equation with Fading Memory

Previous article Next article On the Linear Heat Equation with Fading MemoryAlessandra LunardiAlessandra Lunardihttps: //doi. org/10. 1137/0521066PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThe linear heat equation in materials with memory is studied by reducing it to an abstract Volterra equation. Results of regularity, asymptotic behavior, and positivity are given. 1 Ph. Clément, On abstract Volterra equations with kernels having a positive resolvent, Israel J. Math. , 36 (1980), 193–200 82a: 45008 0451. 45012 CrossrefISIGoogle Scholar2 Ph. Clément, , R. C. MacCamy and, J. A. Nohel, Asymptotic properties of solutions of nonlinear abstract Volterra equations, J. Integral Equations, 3 (1981), 185–216 83a: 45018 0482. 45011 ISIGoogle Scholar3 Ph. Clément and, J. A. Nohel, Abstract linear and nonlinear Volterra equations preserving positivity, SIAM J. Math. 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