Výsledky vyhledávání - "Nataliia Goloshchapova"

A nonlinear Klein–Gordon equation on a star graph

Autor: Nataliia Goloshchapova

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We study local well-posedness and orbital stability/instability of standing waves for a first order system associated with a nonlinear Klein-Gordon equation on a star graph. The proof of the well-posedness uses a classical fixed point argument and th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbb6ff85f231061b513fa6b4f6329a81
https://doi.org/10.1002/mana.201900526

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VARIATIONAL AND STABILITY PROPERTIES OF COUPLED NLS EQUATIONS ON THE STAR GRAPH

Autor: Liliana Cely, Nataliia Goloshchapova

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3eacabc61940769d8d7442b5842c7f30

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Instability of ground states for the NLS equation with potential on the star graph

Autor: Liliana Cely, Alex H. Ardila, Nataliia Goloshchapova

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We study the nonlinear Schrodinger equation with an arbitrary real potential $$V(x)\in (L^1+L^\infty )(\Gamma )$$ on a star graph $$\Gamma $$ . At the vertex an interaction occurs described by the generalized Kirchhoff condition with strength $$-\gam

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00e5b500624f35513bba513b3cb2a11b
http://arxiv.org/abs/2102.12001

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On the orbital instability of excited states for the NLS equation with the δ-interaction on a star graph

Autor: Nataliia Goloshchapova, Jaime Angulo Pava

Publikováno v: Discrete & Continuous Dynamical Systems - A. 38:5039-5066

We study the nonlinear Schrodinger equation (NLS) on a star graph \begin{document}$\mathcal{G}$\end{document} . At the vertex an interaction occurs described by a boundary condition of delta type with strength \begin{document}$\alpha\in \mathbb{R}$\e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::588e7a1241aeb4ffbfee2a3185ff41ca
https://doi.org/10.3934/dcds.2018221

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Blow-up and strong instability of standing waves for the NLS-δequation on a star graph

Autor: Nataliia Goloshchapova, Masahito Ohta

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We study strong instability (by blow-up) of the standing waves for the nonlinear Schr\"odinger equation with $\delta$-interaction on a star graph $\Gamma$. The key ingredient is a novel variational technique applied to the standing wave solutions bei

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ad5c399de05c46ee59a64f50e064fa7
https://doi.org/10.1016/j.na.2020.111753

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Stability properties of standing waves for NLS equations with the δ′-interaction

Autor: Nataliia Goloshchapova, Jaime Angulo Pava

Publikováno v: Physica D: Nonlinear Phenomena. 403:132332

We study the orbital stability of standing waves with discontinuous bump-like profile for the nonlinear Schrodinger model with the repulsive δ ′ -interaction on the line. We consider the model with power non-linearity. In particular, it is shown t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a61348977374f35163441d28a34cefda
https://doi.org/10.1016/j.physd.2020.132332

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Stability of standing waves for NLS-log equation with $$\varvec{\delta }$$-interaction

Autor: Jaime Angulo Pava, Nataliia Goloshchapova

Publikováno v: Nonlinear Differential Equations and Applications NoDEA. 24

We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schr\"odinger equation with $\delta$-interaction (attractive and repulsive). A major difficulty is to compute the number of nega

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c41e6399391398713a37464ebe0a97f
https://doi.org/10.1007/s00030-017-0451-0

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Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions

Autor: Mark Malamud, Nataliia Goloshchapova, V. P. Zastavnyi

Publikováno v: Mathematische Nachrichten. 285:1839-1859

We complete the classical Schoenberg representation theorem for radial positive definite functions. We apply this result to study spectral properties of self-adjoint realizations of two- and three-dimensional Schrodinger operators with point interact

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f03b1026e9f06179f9096d8f2a9fc916
https://doi.org/10.1002/mana.201100132

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