Exponential and polynomial decay for first order linear Volterra evolution equations

DOI10.1090/S0033-569X-09-01145-XzbMath1168.35319MaRDI QIDQ3625437

Edoardo Mainini, Gianluca Mola

Publication date: 5 May 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-01/S0033-569X-09-01145-X/home.html

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stefan problems, phase changes, etc. (80A22)

Related Items (10)

Exponential decay of a first order linear Volterra equation ⋮ Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in \(\mathbb{R}^n\) ⋮ A new approach to abstract linear viscoelastic equation in Hilbert space ⋮ Heat conduction with memory: a singular kernel problem ⋮ Decay rates for the Moore-Gibson-Thompson equation with memory ⋮ Admissibility of the Observation Operators for Volterra systems with Exponential Kernels ⋮ Singular kernel problems in materials with memory ⋮ Regularity theory for a nonlinear fractional reaction-diffusion equation ⋮ Infinite-time exact observability of Volterra systems in Hilbert spaces ⋮ Infinite-Time Admissibility and Exact Observability of Volterra Systems

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