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math.FA2024
Exponential bases on modified domains
Oleg Asipchuk
The stability of exponential bases on domains in has been widely studied, with much of the research focusing on small perturbations of the phase. In this paper, we consider…
math.CA2024
Concerning the stability of exponential systems and Fourier matrices
Oleg Asipchuk, Laura De Carli, Weilin Li
Fourier matrices naturally appear in many applications and their stability is closely tied to performance guarantees of algorithms. The starting point of this article is a result t…
math.AP2024
Existence and non-existence of ground state solutions for magnetic NLS
Oleg Asipchuk, Christopher Leonard, Shijun Zheng
We show the existence and stability of ground state solutions (g.s.s.) for -critical magnetic nonlinear Schrödinger equations (mNLS) for a class of unbounded electromagnetic p…