论文标题
严格抛物线方程的galerkin型方法
Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds
论文作者
论文摘要
我们证明存在与紧凑的Riemannian歧管$（m，g）$相对于各种严格抛物线方程对应的凯奇问题的弱解决方案。这还包括具有线性扩散的随机强迫的严格抛物线方程。存在通过Galerkin方法的变体证明，可用于构建收敛有限元方法。
We prove existence of weak solutions to the Cauchy problem corresponding to various strictly parabolic equations on a compact Riemannian manifold $(M,g)$. This also includes strictly parabolic equations with stochastic forcing with linear diffusion. Existence is proved through a variant of the Galerkin method and can be used to construct a convergent finite element method.
