Parabolic pseudodifferential operators of variable order

1984 ◽  
Vol 35 (2) ◽  
pp. 116-120
Author(s):  
Nguen Min Chung
Keyword(s):  
Pseudodifferential Operators ◽  
Variable Order

scholarly journals Fractional-in-time and multifractional-in-space stochastic partial differential equations

2016 ◽  
Vol 19 (6) ◽  
Author(s):  
Vo V. Anh ◽  
Nikolai N. Leonenko ◽  
María D. Ruiz-Medina
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
White Noise ◽  
Stochastic Partial Differential Equations ◽  
Pseudodifferential Operators ◽  
Weak Sense ◽  
Variable Order ◽  
Mean Square ◽  
Partial Differential ◽  
The Mean

AbstractThis paper derives the weak-sense Gaussian solution to a family of fractional-in-time and multifractional-in-space stochastic partial differential equations, driven by fractional-integrated-in-time spatiotemporal white noise. Some fundamental results on the theory of pseudodifferential operators of variable order, and on the Mittag-Leffler function are applied to obtain the temporal, spatial and spatiotemporal Hölder continuity, in the mean-square sense, of the derived solution.

Pseudodifferential operators on differential groupoids

1999 ◽  
Vol 189 (1) ◽  
pp. 117-152 ◽  
Author(s):  
Victor Nistor ◽  
Alan Weinstein ◽  
Ping Xu
Keyword(s):  
Pseudodifferential Operators
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