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The nonlinear term f and the nonlocal term g will be specified later.
ν is the unit normal vector pointing toward the exterior of Ω and p > 0. Here, g represents the kernel of the memory term satisfying some conditions to be specified later.
where g is a source term with exponential growth at infinity to be specified later, h is a monotone continuous function with polynomial growth at infinity and with no restriction on the growth rate near the origin.
The nonlinear terms (f Jtimes Xrightarrow X) and (g_{i}:Xto X) will be specified later.
He specified later that he didn't mean renegotiating bond terms, which countries like Argentina and Greece have done repeatedly.
The function (h:mathbb{R}^ to mathbb{R}^) in the viscoelastic term is a positive relaxation function satisfying some conditions to be specified later.
We prove the following two theorems about convolutions.
Details will be specified later.
f and g will be specified later.
Furthermore,, and satisfy appropriate conditions which will be specified later.
f is a function to be specified later.
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