Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Uriya, Kota"'
In this paper, we consider the initial value problem of a specific system of cubic nonlinear Schr\"{o}dinger equations. Our aim of this research is to specify the asymptotic profile of the solution in $L^{\infty}$ as $t \to \infty$. It is then reveal
Externí odkaz:
http://arxiv.org/abs/2205.02651
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Schr"odinger equations in one space dimension. It turns out that for a system there exists a small solution of which asymptotic profile is a
Externí odkaz:
http://arxiv.org/abs/2112.06427
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Klein-Gordon equations in one space dimension. We classify the systems by studying the quotient set of a suitable subset of systems by the eq
Externí odkaz:
http://arxiv.org/abs/2104.02285
We consider the final state problem for the inhomogeneous nonlinear Schr\"odinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a logarithmic phase correction compared with the free evolution, we c
Externí odkaz:
http://arxiv.org/abs/2101.09423
Publikováno v:
Pure Appl. Analysis 4 (2022) 287-311
We consider the cubic nonlinear Schr\"{o}dinger equation on the star graph with the Kirchhoff boundary condition. We prove modified scattering for the final state problem and the initial value problem. Moreover, we also consider the failure of scatte
Externí odkaz:
http://arxiv.org/abs/2006.13490
Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension
Publikováno v:
In Nonlinear Analysis May 2023 230
In this paper, we study large time behavior of complex-valued solutions to nonlinear Klein-Gordon equation with a gauge invariant quadratic nonlinearity in two spatial dimensions. To find a possible asymptotic behavior, we consider the final value pr
Externí odkaz:
http://arxiv.org/abs/1810.02158
Publikováno v:
Trans. Amer. Math. Soc. 371 (2019), 7925-7947
In this paper, we consider the final state problem for the nonlinear Schr\"odinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomial. In [10], the first and the second authors consider one- and two-d
Externí odkaz:
http://arxiv.org/abs/1706.03491
Publikováno v:
Transactions of the American Mathematical Society, Series B. 9:517-563
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Klein-Gordon equations in one space dimension. We classify the systems by studying the quotient set of a suitable subset of systems by the eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b677f247590253f6d793084a06d05e34
https://doi.org/10.1090/btran/116
https://doi.org/10.1090/btran/116
Publikováno v:
In Journal of Functional Analysis 1 July 2016 271(1):136-163