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Abstract

In this article, the existence of a uniform attractor is proved for the multi-valued process generated by non-autonomous nonclassical diffusion equations (NDEs) with delays in unbounded domain without uniqueness of solutions, when the external force $g (x, t)$ belongs to the space $L_{C^{*}}^{2} (R, L^{2} (R^{N}))$ and is a translation bounded function, but is not a translation compact function.

Keywords

uniform attractors multi-valued process nonclassical diffusion equations with delay unbounded domain

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Uniform attractors for multi-valued process generated by non-autonomous nonclassical diffusion equations with delay in unbounded domain without uniqueness of solutions

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