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math.AP2018
Gevrey estimates for certain moment partial differential equations
Sławomir Michalik, Maria Suwińska
We consider the Cauchy problem for inhomogeneous linear moment differential equations with holomorphic time dependent coefficients. Using such tools as the formal norms, theory of…
math.AP2018
The Stokes phenomenon for some moment partial differential equations
Sławomir Michalik, Bożena Tkacz
We study the Stokes phenomenon for the solutions of general homogeneous linear moment partial differential equations with constant coefficients in two complex variables under condi…
math.AP2018
Hyperasymptotic solutions for certain partial differential equations
Sławomir Michalik, Maria Suwińska
We present the hyperasymptotic expansions for a certain group of solutions of the heat equation. We extend this result to a more general case of linear PDEs with constant coefficie…