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This chapter presents an introduction to generalized homogeneous systems in abstract (e.g., Banach and Hilbert) spaces. A relation of the homogeneity theory with the theory of self-similar solutions of Partial Differential EquationsPartial Differential Equation (PDE) (PDEsPartial Differential Equation (PDE)) is considered.

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Introduction to Abstract Homogeneity

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  • 发表日期：

    2025年

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  • Andrey Polyakov

摘要

This chapter presents an introduction to generalized homogeneous systems in abstract (e.g., Banach and Hilbert) spaces. A relation of the homogeneity theory with the theory of self-similar solutions of Partial Differential EquationsPartial Differential Equation (PDE) (PDEsPartial Differential Equation (PDE)) is considered.