Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Hayato Nawa"'
Publikováno v:
Journal of Differential Equations. 334:25-86
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9c30f3d9bb54cc960d0ad8243702e1d
https://doi.org/10.1016/j.jde.2022.06.016
https://doi.org/10.1016/j.jde.2022.06.016
Publikováno v:
Memoirs of the American Mathematical Society. 272
We consider the nonlinear Schrodinger equations with combined type local interactions with energy critical growth, and we study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so called nine set theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d71a555e4a1dd8daceb0186f5af600f
https://doi.org/10.1090/memo/1331
https://doi.org/10.1090/memo/1331
Publikováno v:
Memoirs of the American Mathematical Society; 2021, Vol. 272 Issue 1331, pi-130, 126p
The study of the uniqueness and nondegeneracy of ground state solutions to semilinear elliptic equations is of great importance because of the resulting energy landscape and its implications for the various dynamics. In [AIKN3], semilinear elliptic e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4a3ae313a997726e9e9fc455e62b908
http://arxiv.org/abs/1801.08696
http://arxiv.org/abs/1801.08696
Autor:
Hayato Nawa
Publikováno v:
Communications on Pure and Applied Mathematics. 52:193-270
This paper is a sequel to previous ones 38, 39, 41. We continue the study of the blowup problem for the nonlinear Schrodinger equation with critical power nonlinearity (NSC). We introduce a new idea to prove the existence of a blowup solution in H1(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18c9cf318adc363d27c88d9a184ea3b3
https://doi.org/10.1002/(sici)1097-0312(199902)52:2<193::aid-cpa2>3.0.co
https://doi.org/10.1002/(sici)1097-0312(199902)52:2<193::aid-cpa2>3.0.co
Autor:
Hayato Nawa, Masayoshi Tsutsumi
Publikováno v:
Communications on Pure and Applied Mathematics. 51:373-383
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5689cee9b03f54916fb1862dfc42121
https://doi.org/10.1002/(sici)1097-0312(199804)51:4<373::aid-cpa2>3.0.co
https://doi.org/10.1002/(sici)1097-0312(199804)51:4<373::aid-cpa2>3.0.co
Autor:
Hayato Nawa
Publikováno v:
Journal of Statistical Physics. 91:439-458
We consider the blow-up problem for the nonlinear Schrodinger equation with quartic self-interacting potential on \(\mathbb{R}\). We exhibit a class of initial data leading to the blow-up solutions which have at least two L2-concentration points.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d26d6aab77d93d25d66f1f58a071de76
https://doi.org/10.1023/a:1023012709647
https://doi.org/10.1023/a:1023012709647
We study the energy-critical focusing nonlinear Schr\"odinger equation with an energy- subcritical perturbation. We show the existence of a ground state in the four or higher dimensions. Moreover, we give a sufficient and necessary condition for a so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4f256b98e4598b6d41a02eb0516700f
http://arxiv.org/abs/1112.1121
http://arxiv.org/abs/1112.1121
Autor:
Tohru Ozawa, Hayato Nawa
Publikováno v:
Comm. Math. Phys. 146, no. 2 (1992), 259-275
We consider the scattering problem for the Hartree type equation in ℝn withn≧2: $$i\frac{{\partial u}}{{\partial t}} + \frac{1}{2}\Delta u = (V * |u|^2 )u,$$ where\(V(x) = \sum\limits_{j = 1}^2 {\lambda _j |x|^{ - \gamma j} ,(\lambda _1 ,\lambda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c99bd56aa415152aef5b71cb394e86cd
https://doi.org/10.1007/bf02102628
https://doi.org/10.1007/bf02102628