Stochastic Partial Differential Equations in Turbulence Related Problems**The preparation of this article was supported by the US Army Research Office at Research Triangle Park, North Carolina, under Grant No. DAAG29-76-G-0141, and by NASA Langley Research Center, Hampton, Virginia, under Grant NSG1330.

1978 ◽  
pp. 1-43 ◽  
Author(s):  
PAO-LIU CHOW
Keyword(s):  
North Carolina ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Stochastic Partial Differential Equations ◽  
Research Center ◽  
Us Army ◽  
Research Triangle ◽  
The Us ◽  
Langley Research Center ◽  
Research Office

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.

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