Basic boundary-value problems for one equation with fractional derivatives

被引：0
|
作者：
Lopushanskaya G.P. [1 ]
机构：
[1] Lvov University, Lvov
来源：
Ukrainian Mathematical Journal | 1999年 / 51卷 / 1期
关键词：
Dirichlet Problem; Fractional Derivative; Neumann Problem; Pseudodifferential Operator; Green Formula;
D O I：
10.1007/BF02591914
中图分类号：
学科分类号：
摘要：
We prove certain properties of solutions of the equation ∂2αu/∂x12α + ∂2αu/∂x22α + ∂2αu/∂x32α = 0, α ε(1/2;1], in a domain Ω ⊂ R3, which are similar to the properties of harmonic functions. By using the potential method, we investigate basic boundary-value problems for this equation. © 1999 Kluwer Academic/Plenum Publishers.
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页码：51 / 65
页数：14
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