scholarly journals A probabilistic Harnack inequality and strict positivity of stochastic partial differential equations

2017 ◽  
Vol 171 (3-4) ◽  
pp. 653-684 ◽  
Author(s):  
Zhenan Wang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Harnack Inequality ◽  
Stochastic Partial Differential Equations ◽  
Partial Differential ◽  
Strict Positivity

scholarly journals Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

2021 ◽  
Author(s):  
Shohei Nakajima
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Weak Solutions ◽  
Stochastic Partial Differential Equations ◽  
Fractional Laplacian ◽  
Existence Of Solutions ◽  
Partial Differential ◽  
Continuity Theorem ◽  
Existence Of Weak Solutions ◽  
One Dimensional

AbstractWe prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

Sign in / Sign up

Export Citation Format

Share Document