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math.AP2020
Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations
Farhan Abedin, Russell W. Schwab
We establish that the regularity theory for translation invariant fractional order parabolic integro-differential equations (via Krylov-Safonov estimates) gives an improv…
math.AP2020
Inverse Iteration for the Monge-Ampère Eigenvalue Problem
Farhan Abedin, Jun Kitagawa
We present an iterative method based on repeatedly inverting the Monge-Ampère operator with Dirichlet boundary condition and prescribed right-hand side on a bounded, convex domain…