3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2019
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
math.AP2017★ 1 cited
A duality based approach to the minimizing total variation flow in the space
Yoshikazu Giga, Monika Muszkieta, Piotr Rybka
We consider a gradient flow of the total variation in a negative Sobolev space under the periodic boundary condition. If , the flow is nothing but…
math.AP2013★ 3 cited
Two cases of squares evolving by anisotropic diffusion
Piotr B. Mucha, Monika Muszkieta, Piotr Rybka
We are interested in an anisotropic singular diffusion equation in the plane and in its regularization. We establish existence, uniqueness and basic regularity of solutions to both…