A general decay result for a semilinear heat equation with past and finite history memories
Abstract In this paper, we consider the initial-boundary value problem of the following semilinear heat equation with past and finite history memories: ut−Δu+∫0tg1(t−s)div(a1(x)∇u(s))ds+∫0+∞g2(s)div(a2(x)∇u(t−s))ds+f(u)=0,(x,t)∈Ω×[0,+∞), $$\begin{aligned} &u_{t}-\Delta u + \int _{0}^{t} {{g_{1}}...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1150-z |