82 citations · 263 across the 37 of their papers we have counts for
9 papers · 1 filter
Inverse Boundary Value Problem for Non-linear Hyperbolic Partial Differential Equations
Gen Nakamura, Manmohan Vashisth
In this article we are concerned with an inverse boundary value problem for a non-linear wave equation of divergence form with space dimension . In particular the so calle…
Unique continuation property for multi-terms time fractional diffusion equations
Ching-Lung Lin, Gen Nakamura
A Carleman estimate and the unique continuation property of solutions for a multi-terms time fractional diffusion equation up to order and general time dependent sec…
Strong unique continuation for two-dimensional anisotropic elliptic systems
Rulin Kuan, Gen Nakamura, Satoshi Sasayama
In this paper, we give the strong unique continuation property for a general two dimensional anisotropic elliptic system with real coefficients in a Gevrey class under the assumpti…
Semiclassical analysis of elastic surface waves
Maarten de Hoop, Alexei Iantchenko, Gen Nakamura +1
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium near a boundary, in spatial dimension three. The medium is assumed to be essent…
Boundary determination of the Lamé moduli for the isotropic elasticity system
Yi-Hsuan Lin, Gen Nakamura
We consider the inverse boundary value problem of determining the Lamé moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to…
Convergence of Lebenberg-Marquard method for the Inverse Problem with an Interior Measurement
Yu Jiang, Gen Nakamura
The convergence of Levenberg-Marquard method is discussed for the inverse problem to reconstruct the storage modulus and loss modulus for the so called scalar model by single inter…