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20092024
most citedConditional Stability for Single Interior Measurement

12 citations · 19 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.AP2024

and multi-microlocal operators

Naofumi Honda, Luca Prelli

In this paper, we construct the multi-microlocalization functor of homomorphisms, which is a counterpart of the functor studied by M.Kashiwara and P.Schapira. Fur…

math.AP2022

Laplace hyperfunctions via Čech-Dolbeault cohomology

Naofumi Honda, Kohei Umeta

The paper studies several properties of Laplace hyperfunctions introduced by H.~Komatsu in the one dimensional case and by the authors in the higher dimensional cases from the view…

math.AP2016★ 1 cited

Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity

Cătălin I. Cârstea, Naofumi Honda, Gen Nakamura

Consider a three dimensional piecewise homogeneous anisotropic elastic medium which is a bounded domain consisting of a finite number of bounded subdomains , with each $D_…

math.AP2015

Unique continuation property of solutions to general second order elliptic systems

N. Honda, C. -L. Lin, G. Nakamura +1

This paper concerns about the weak unique continuation property of solutions of a general system of differential equation/inequality with a second order strongly elliptic system as…

math.AP2013

Foundation of Symbol Theory for Analytic Pseudodifferential Operators. I

Takashi Aoki, Naofumi Honda, Susumu Yamazaki

A new symbol theory for pseudodifferential operators in the complex analytic category is given. This theory provides a cohomological foundation of symbolic calculus.

math.AP2013★ 12 cited

Conditional Stability for Single Interior Measurement

Naofumi Honda, Joyce McLaughlin, Gen Nakamura

An inverse problem to identify unknown coefficients of a partial differential equation by a single interior measurement is considered. The equation considered in this paper is a st…