18 citations · 92 across the 38 of their papers we have counts for
4 papers · 2 filters
Explicit complex-valued solutions of the 2D eikonal equation
Rolando Magnanini
We present a method to obtain explicit solutions of the complex eikonal equation in the plane. This equation arises in the approximation of Helmholtz equation by the WKBJ or EWT me…
Interpolating estimates with applications to some quantitative symmetry results
Rolando Magnanini, Giorgio Poggesi
We prove interpolating estimates providing a bound for the oscillation of a function in terms of two norms of its gradient. They are based on a pointwise bound of a function…
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces
Toru Kan, Rolando Magnanini, Michiaki Onodera
We consider Backus's problem in geophysics. This consists in reconstructing a harmonic potential outside the Earth when the intensity of the related field is measured on the Earth'…
Variational -harmonious functions: existence and convergence to -harmonic functions
Evan W. Chandra, Michinori Ishiwata, Rolando Magnanini +1
In a recent paper, the last three authors showed that a game-theoretic -harmonic function is characterized by an asymptotic mean value property with respect to a kind of mea…