Hölder continuous solutions for integro-differential equations and maximal regularity
Hölder continuous solutions for integro-differential equations and maximal regularity
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DOI：
10.1016/j.jde.2006.07.018
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发表时间：
2006-11
影响因子：
2.4
通讯作者：
V. Keyantuo;C. Lizama
中科院分区：
文献类型：
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作者：
V. Keyantuo;C. Lizama
研究了Hölder空间中一类线性积分微分方程解的存在唯一性。我们的方法是基于算子值傅立叶乘法器。我们考虑的解可能是无界的。我们研究的这类具体方程出现在有记忆材料的热传导模型中。
We characterize existence and uniqueness of solutions for a linear integro-differential equation in Hölder spaces. Our method is based on operator-valued Fourier multipliers. The solutions we consider may be unbounded. Concrete equations of the type we study arise in the modeling of heat conduction in materials with memory.