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• W4321459487 abstract "Abstract This paper is devoted to studying a system consisting of a reaction–diffusion equation with multi-valued right-hand side and an ordinary differential equation in absence of dissipation term, which is defined on the whole space <?CDATA $mathbb{R}^N$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msup> <mml:mrow> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mi>N</mml:mi> </mml:msup> </mml:math> . The system is driven by time-dependent forces and coloured noise with nonlinear diffusion. We first establish the global existence of strong/mild solutions for initial-value problems. The measurability of solution map with respect to sample points and initial values is then obtained via the upper semicontinuity, which indicates that these solutions define a (non-autonomous) multi-valued random dynamical system. Finally, we prove the existence of pullback attractor for the dynamical system." @default.
• W4321459487 created "2023-02-22" @default.
• W4321459487 creator A5051588754 @default.
• W4321459487 creator A5087426751 @default.
• W4321459487 date "2023-02-21" @default.
• W4321459487 modified "2023-09-30" @default.
• W4321459487 title "Multi-valued random dynamics of partly dissipative reaction–diffusion system with discontinuous nonlinearity on RN" @default.
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• W4321459487 doi "https://doi.org/10.1088/1361-6544/acbb4e" @default.
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