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- W4288348085 abstract "Here we design boundary feedback stabilizers to unbounded trajectories, for semi-linear stochastic heat equation with cubic non-linearity. The feedback controller is linear, given in a simple explicit form and involves only the eigenfunctions of the Laplace operator. It is supported in a given open subset of the boundary of the domain. Via a rescaling argument, we transform the stochastic equation into a random deterministic one. Then, the simple form of the feedback, we propose here, allows to write the solution, of the random equation, in a mild formulation via a kernel. Appealing to a fixed point argument the existence & stabilization result is proved." @default.
- W4288348085 created "2022-07-29" @default.
- W4288348085 creator A5012212783 @default.
- W4288348085 date "2019-05-24" @default.
- W4288348085 modified "2023-09-28" @default.
- W4288348085 title "Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation, driven by a multiplicative noise" @default.
- W4288348085 doi "https://doi.org/10.48550/arxiv.1905.10026" @default.
- W4288348085 hasPublicationYear "2019" @default.
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