论文标题
贝斯夫空间和应用中的非本地分数椭圆形和抛物线
Nonlocal fractional elliptic and parabolıc equatıons in Besov spaces and applications
论文作者
论文摘要
研究了非本地分数椭圆方程的最大b_ {p，q}^{s} {s} - 型号属性。特别是，事实证明，B_ {p，q}^{s}中此非局部Ellıpıtıc方程生成的操作员是部门，也是分析半群的生成器。此外，还建立了BESOV空间中非局部分数抛物线方程的良好性。
The maximal B_{p,q}^{s}-regularity properties of a nonlocal fractional elliptic equation is studied. Particularly, it is proven that the operator generated by this nonlocal ellıpıtıc equation in B_{p,q}^{s} is sectorial and also is a generator of an analytic semigroup. Moreover, well-posedeness of nonlocal fractional parabolic equation in Besov spaces are established.
