Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in $$\mathbb {R}^{ {d}}$$ and Applications to the Ornstein-Uhlenbeck Semigroup
Estimates for the Heat Flow in Optimal Spaces of Unbounded Initial Data in $$\mathbb {R}^{ {d}}$$ and Applications to the Ornstein-Uhlenbeck Semigroup
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$$mathbb {R}^{ {d}}$$ 中无界初始数据最优空间中的热流估计及其在 Ornstein-Uhlenbeck 半群中的应用
DOI：
10.1007/s00009-023-02293-6
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发表时间：
2023
影响因子：
1.1
通讯作者：
Robinson J
中科院分区：
文献类型：
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作者：
Robinson J
在本文中，我们改进了对初始条件在无穷远处很大的热方程解的一些估计，并利用它们得到了对同一类无界数据的Ornstein-Uhlenbeck半群解的适当估计.
In this paper, we improve some estimates from for solutions of the heat equation with initial conditions that are large ‘at infinity’ and employ them to obtain suitable estimates on the solutions of the Ornstein–Uhlenbeck semigroup [solutions of] for the same class of unbounded data.