On the Spectral Stability of Standing Waves of Nonlocal $$\mathcal {P}\mathcal {T}$$ Symmetric Systems

Autor:	Wen Feng, Milena Stanislavova
Rok vydání:	2020
Předmět:	Physics Standing wave Symmetric systems Mathematical analysis Spectral properties Spectral stability Variety (universal algebra) Nonlinear Sciences::Pattern Formation and Solitons Energy (signal processing)
Zdroj:	Trends in Mathematics ISBN: 9783030471736
Popis:	We consider standing wave solutions of the nonlocal NLS and the nonlocal Klein–Gordon Equations. Using a variety of different techniques such as energy estimates, direct spectral calculations and index count theorems, together with the spectral properties of operators, we prove spectral stability of these waves as solutions of five different nonlocal models.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::72a780f09966df1807321211ab863135 https://doi.org/10.1007/978-3-030-47174-3_9 Zobrazit plný text záznamu