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<p>In this article, we survey several results on partial differential equations in the hyperbolic space. The topics covered include various Sobolev and functional inequalities and related problems, as well as semilinear elliptic, heat, Schrödinger, and wave equations in this setting.</p>

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Partial differential equations in the hyperbolic space : A survey

  • 期刊论文

  • 发表日期：

    2025年11月20日

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  • Kunnath Sandeep

摘要

In this article, we survey several results on partial differential equations in the hyperbolic space. The topics covered include various Sobolev and functional inequalities and related problems, as well as semilinear elliptic, heat, Schrödinger, and wave equations in this setting.