论文标题
快速扩散方程的障碍物问题中的较高可集成性
Higher integrability in the obstacle problem for the fast diffusion equation
论文作者
论文摘要
我们证明，在快速扩散案例中，空间梯度用于解决多孔中等类型障碍问题的局部较高的集成性。结果适用于自然的指数范围，这是从其他规律性结果中知道的多孔培养基方程。我们还介绍了签名解决方案的案例。
We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case $m<1$. The result holds for the natural range of exponents that is known from other regularity results for porous medium type equations. We also cover the case of signed solutions.
