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The Allen-Cahn equation with weakly critical random initial datum. [PDF]

open access: yesProbab Theory Relat Fields
Gabriel S, Rosati T, Zygouras N.
europepmc   +1 more source
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Stochastic Zener model with complex order fractional derivatives

Mathematics and mechanics of solids, 2022
We analyze the dissipation inequality for the constitutive equation of a complex order fractional Zener model and obtain appropriate thermodynamical restrictions for the wave-type model equation in terms of its Laplace transform.
T. Atanacković   +2 more
semanticscholar   +1 more source

Computational Inverse Problems for Partial Differential Equations

Oberwolfach Reports, 2018
The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may e.g.
L. Borcea, T. Hohage, B. Kaltenbacher
semanticscholar   +1 more source

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