scholarly journals A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations

2007 ◽  
Vol 196 (45-48) ◽  
pp. 4521-4537 ◽  
Author(s):  
Anthony Nouy
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Spectral Decomposition ◽  
Stochastic Partial Differential Equations ◽  
Decomposition Technique ◽  
Partial Differential ◽  
Generalized Spectral Decomposition

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