论文标题
非均匀抛物线方程和应用的最大原理
Maximum principle for non-uniformly parabolic equations and applications
论文作者
论文摘要
在本文中，我们研究了通过De-Giorgi的迭代来对一类退化抛物线方程的解决方案的全球界限。作为应用，我们显示了可能具有奇异扩散和漂移系数的退化随机微分方程的弱解。此外，通过Krylov [8]的马尔可夫选择定理，我们还建立了相关的强马尔可夫家族的存在。
In this paper we study the global boundedness for the solutions to a class of possibly degenerate parabolic equations by De-Giorgi's iteration. As applications, we show the existence of weak solutions for possibly degenerate stochastic differential equations with singular diffusion and drift coefficients. Moreover, by the Markov selection theorem of Krylov [8], we also establish the existence of the associated strong Markov family.
