scholarly journals Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Changpin Li ◽  
Zhiqiang Li
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Fractional Laplacian ◽  
Partial Differential ◽  
Asymptotic Behaviors ◽  
Hyperbolic Case ◽  
Hadamard Derivative

scholarly journals The existence of the surface with edge in Minkowsky space with the given Grassman image

2018 ◽  
Vol 11 (1) ◽  
Author(s):  
Marina Grechneva ◽  
Polina Stegantseva
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Second Order ◽  
Moving Frame ◽  
Partial Differential ◽  
Hyperbolic Case ◽  
Metric Properties ◽  
Global Aspect ◽  
Minkowsky Space ◽  
The Given

One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space.

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