Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Takahisa Inui"'
Publikováno v:
Nonlinearity. 35:C17-C19
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c425f7141474b97a5686373649c4502
https://doi.org/10.1088/1361-6544/ac8c7a
https://doi.org/10.1088/1361-6544/ac8c7a
Publikováno v:
Funkcialaj Ekvacioj. 64:261-291
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cd97a14c5792c07e3ef3f2331b1e416
https://doi.org/10.1619/fesi.64.261
https://doi.org/10.1619/fesi.64.261
Autor:
Takahisa Inui, Yuta Wakasugi
Publikováno v:
Journal of Evolution Equations. 21:5171-5201
For the energy-critical nonlinear damped wave equation, we show the unconditional well-posedness. The unconditional well-posedness means local well-posedness and the unconditional uniqueness. First, we give the local well-posedness and stability, who
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da520e4a73eb1d770ce7bcb9736b0af6
https://doi.org/10.1007/s00028-021-00744-9
https://doi.org/10.1007/s00028-021-00744-9
Publikováno v:
Mathematische Annalen.
We study traveling wave solutions for a nonlinear Schr\"odinger system with quadratic interaction. For the non mass resonance case, the system has no Galilean symmetry, which is of particular interest in this paper. We construct traveling wave soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0bde93b16ec3183b24a48b435868a3e
https://doi.org/10.1007/s00208-022-02555-w
https://doi.org/10.1007/s00208-022-02555-w
Autor:
Stephen Gustafson, Takahisa Inui
Publikováno v:
Partial Differential Equations and Applications. 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8802df5db787724c17f8a9bfde744ae9
https://doi.org/10.1007/s42985-022-00183-2
https://doi.org/10.1007/s42985-022-00183-2
Autor:
Haruya Mizutani, Takahisa Inui
Publikováno v:
Proceedings of the American Mathematical Society. 149:3473-3484
In the present paper, we consider the linear wave equation with the scale-invariant damping and mass. It is known that the global behavior of the solution depends on the size of the coefficients in front of the damping and mass at initial time t = 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c902e2f5a61e385954aa6c2786a0e7a
https://doi.org/10.1090/proc/15481
https://doi.org/10.1090/proc/15481
Publikováno v:
Journal of Hyperbolic Differential Equations. 17:295-354
We consider the asymptotic behavior of solutions to the Cauchy problem for the defocusing nonlinear Klein-Gordon equation (NLKG) with exponential nonlinearity in the one spatial dimension with data in the energy space $H^1(\mathbb{R}) \times L^2(\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d487fcb6136e9946071683e9a3817cda
https://doi.org/10.1142/s0219891620500083
https://doi.org/10.1142/s0219891620500083
Autor:
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with $L^{2}$-supercritical and $H^{1}$-subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko studied the global dynamics of the solutions with same mass and energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18909dd28e30161f764b135eaf0539a5
Autor:
Alex H. Ardila, Takahisa Inui
We establish the scattering of solutions to the focusing mass supercritical nonlinear Schr\"odinger equation with a repulsive Dirac delta potential \[ i\partial_{t}u+\partial^{2}_{x}u+\gamma\delta(x)u+|u|^{p-1}u=0, \quad (t,x)\in {\mathbb R}\times{\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed58610cf358ad7bcbc4d4be973c328e
http://arxiv.org/abs/2108.00248
http://arxiv.org/abs/2108.00248
Publikováno v:
Communications on Pure & Applied Analysis. 18:1967-2008
We study the Cauchy problem of the damped wave equation \begin{align*} \partial_{t}^2 u - \Delta u + \partial_t u = 0 \end{align*} and give sharp $L^p$-$L^q$ estimates of the solution for $1\le q \le p < \infty\ (p\neq 1)$ with derivative loss. This
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e9abb9f10372c18c808e57a08a3807c
https://doi.org/10.3934/cpaa.2019090
https://doi.org/10.3934/cpaa.2019090