论文标题
超线分数抛物线方程的溶解度
Solvability of Superlinear Fractional Parabolic Equations
论文作者
论文摘要
我们研究了库奇问题的局部时间解决方案的必要条件和足够条件,以实现超线分数抛物线方程。我们的条件很敏锐,并阐明了库奇问题的溶解度与初始度量奇异性的强度之间的关系。
We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our conditions are sharp and clarify the relationship between the solvability of the Cauchy problem and the strength of the singularities of the initial measure.