Zobrazeno 1 - 10
of 480
pro vyhledávání: '"Watanabe, Tatsuya"'
Autor:
Colin, Mathieu, Watanabe, Tatsuya
This paper is devoted to the study of the nonlinear Schr\"odinger-Poisson system with a doping profile. We are interested in the strong instability of standing waves associated with ground state solutions in the $L^2$-supercritical case. The presence
Externí odkaz:
http://arxiv.org/abs/2411.03991
Autor:
Colin, Mathieu, Watanabe, Tatsuya
This paper is devoted to the study of the nonlinear Schr\"odinger-Poisson system with a doping profile. We are interested in the existence of ground state solutions by considering the minimization problem on a Nehari-Pohozaev set. The presence of a d
Externí odkaz:
http://arxiv.org/abs/2411.02103
Autor:
Pomponio, Alessio, Watanabe, Tatsuya
This paper is devoted to the study of the nonlinear scalar field equation with a point interaction at the origin in dimensions two and three. By applying the mountain pass theorem and the technique of adding one dimensional space, we prove the existe
Externí odkaz:
http://arxiv.org/abs/2410.00189
Autor:
Colin, Mathieu, Watanabe, Tatsuya
This paper is devoted to the study of the nonlinear Schr\"odinger-Poisson system with a doping profile. We are interested in the existence of stable standing waves by considering the associated $L^2$-minimization problem. The presence of a doping pro
Externí odkaz:
http://arxiv.org/abs/2409.01842
Autor:
Watanabe, Tatsuya1 (AUTHOR) tatsuya.watanabe@nationwidechikdrens.org, Hatayama, Naoyuki2 (AUTHOR) nhatayama416@gmail.com, Guo, Marissa1,3 (AUTHOR) marissa.guo1@nationwidechildrens.org, Yuhara, Satoshi1 (AUTHOR) satoshi.yuhara@nationwidechildrens.org, Shinoka, Toshiharu3,4 (AUTHOR) toshiharu.shinoka@nationwidechildrens.org
Publikováno v:
Bioengineering (Basel). Oct2024, Vol. 11 Issue 10, p954. 24p.
Autor:
Kelly, John M., Hu, Zinan, Takaesu, Felipe, Watanabe, Tatsuya, Storrs, Judd, Blais, Benjamin, Yuhara, Satoshi, Morrison, Adrienne, Nelson, Kirsten, Ulziibayar, Anudari, Heuer, Eric, Anderson, Cole, Jimenez, Michael, Leland, Joseph, Malbrue, Raphael, Arsuaga-Zorrilla, Carmen, Goodchild, Laurie, Naguib, Aymen, McKee, Christopher, Varner, Jordan, DeShetler, Cameron, Spiess, Joshua, Harrison, Andrew, Boe, Brian, Armstrong, Aimee K., Salavitabar, Arash, Hor, Kan, Krishnamurthy, Rajesh, Yates, Andrew R., Shinoka, Toshiharu, Carrillo, Sergio A., Davis, Michael E., Marsden, Alison L., Breuer, Christopher K.
Publikováno v:
In JTCVS Open October 2024 21:268-278
Publikováno v:
Manuscripta Mathematica 172 (2023), 933-970
This paper treats the existence of positive solutions of $-\Delta u + V(x) u = \lambda f(u)$ in $\mathbb{R}^N$. Here $N \geq 1$, $\lambda > 0$ is a parameter and $f(u)$ satisfies conditions only in a neighborhood of $u=0$. We shall show the existence
Externí odkaz:
http://arxiv.org/abs/2201.04246
Autor:
Hayashi, Hidenori, Contento, Jacqueline, Matsushita, Hiroshi, Mass, Paige, Cleveland, Vincent, Aslan, Seda, Dave, Amartya, Santos, Raquel dos, Zhu, Angie, Reid, Emmett, Watanabe, Tatsuya, Lee, Nora, Dunn, Tyler, Siddiqi, Umar, Nurminsky, Katherine, Nguyen, Vivian, Kawaji, Keigo, Huddle, Joey, Pocivavsek, Luka, Johnson, Jed, Fuge, Mark, Loke, Yue-Hin, Krieger, Axel, Olivieri, Laura, Hibino, Narutoshi
Publikováno v:
In JTCVS Open April 2024 18:209-220
Autor:
Koda, Yojiro, Watanabe, Tatsuya, Kawaji, Keigo, Mo, Fei, Beaser, Andrew D., Vaicik, Marcella, Hibino, Narutoshi, Ota, Takeyoshi
Publikováno v:
In Annals of Thoracic Surgery Short Reports March 2024 2(1):150-155
Autor:
Pomponio, Alessio, Watanabe, Tatsuya
In this paper, we study a class of quasilinear elliptic equations which appears in nonlinear optics. By using the mountain pass theorem together with a technique of adding one dimension of space, we prove the existence of a non-trivial weak solution
Externí odkaz:
http://arxiv.org/abs/2004.04957