Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Michiyuki Watanabe"'
Publikováno v:
Mathematical Methods in the Applied Sciences. 43:2789-2835
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::126bd8123281ca098049b41e5d865ecc
https://doi.org/10.1002/mma.5945
https://doi.org/10.1002/mma.5945
Publikováno v:
Inverse Problems.
In this article we are concerned with an inverse initial boundary value problem for a non-linear wave equation in space dimension $n\geq 2$. In particular we consider the so called interior determination problem. This non-linear wave equation has a t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d72e818b018f6031a1cfa02f921b6d7c
https://doi.org/10.1088/1361-6420/abcd27
https://doi.org/10.1088/1361-6420/abcd27
Autor:
Michiyuki Watanabe
Publikováno v:
Journal of Mathematical Analysis and Applications. 459:932-944
We consider an inverse scattering problem for a non-linear Schrodinger equation with a non-linearity of power-type. Applying the time-dependent technique, developed by Enss and Weder, we prove that the non-linearity is uniquely determined from a scat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c40df5731ebb40e79836d2fb56bde15
https://doi.org/10.1016/j.jmaa.2017.11.012
https://doi.org/10.1016/j.jmaa.2017.11.012
Autor:
Michiyuki Watanabe
We consider an inverse $N$-body scattering problem of determining two potentials---an external potential acting on all particles and a pair interaction potential---from the scattering particles. This paper finds that the time-dependent Hartree-Fock a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c3b19ce807df6d8155c10e4b12b185d
http://arxiv.org/abs/1912.03462
http://arxiv.org/abs/1912.03462
Autor:
Michiyuki Watanabe
The inverse scattering theory for many-body systems in quantum mechanics is an important and difficult issue not only in physics---atomic physics, molecular physics and nuclear physics---but also mathematics. The major purpose in this paper is to est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db08b8d6a820f22394c1932241d52fc3
http://arxiv.org/abs/1901.11175
http://arxiv.org/abs/1901.11175
Autor:
Michiyuki Watanabe
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 49:155-176
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8bc12a232b83911b967880ddedf964f
https://doi.org/10.4171/prims/100
https://doi.org/10.4171/prims/100
Autor:
Michiyuki Watanabe, Gen Nakamura
Publikováno v:
Inverse Problems & Imaging. 2:121-131
An inverse boundary value problem for nonlinear wave equation of divergence form in one space dimension is considered. By assuming the nonlinear term is unknown, we show the linear and quadratic part of this term can be identified from the Dirichlet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88e968cada29d9659f753221b7626973
https://doi.org/10.3934/ipi.2008.2.121
https://doi.org/10.3934/ipi.2008.2.121
Autor:
Hironobu Sasaki, Michiyuki Watanabe
Publikováno v:
Journal of Mathematical Analysis and Applications. 309:294-306
We shall consider the inverse scattering problem for time dependent version of Hartree equation and nonlinear Klein–Gordon equation. The uniqueness theorem on identifying the cubic convolution nonlinearity from the knowledge of the scattering opera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e99a7d8c0efe004d74d7e1529d16528
https://doi.org/10.1016/j.jmaa.2005.01.031
https://doi.org/10.1016/j.jmaa.2005.01.031
Publikováno v:
PROCEEDINGS OF CIVIL ENGINEERING IN THE OCEAN. 19:677-682
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1184616da6ab01ce092a6a5d735e1b2c
https://doi.org/10.2208/prooe.19.677
https://doi.org/10.2208/prooe.19.677
Autor:
Michiyuki Watanabe
Publikováno v:
Inverse Problems. 18:1477-1481
We consider the inverse scattering problem for the following Hartree-type equation: In this paper it will be shown that there are formulae for determining σ and λ from the small-amplitude limit of the scattering operator.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9f3c2c9419aff6eeb80d882aa893329
https://doi.org/10.1088/0266-5611/18/6/302
https://doi.org/10.1088/0266-5611/18/6/302