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Title: Blow-up of solutions of nonlinear schrödinger equations with oscillating nonlinearities
Authors: Özsarı, Türker
Keywords: Blow-up
Nonlinear Schrodinger equations
Oscillating nonlinearities
Infinite momentum
Nonlinear boundary conditions
Issue Date: 2019
Publisher: American Institute of Mathematical Sciences
Abstract: The finite time blow-up of solutions for 1-D NLS with oscillating nonlinearities is shown in two domains: (1) the whole real line where the nonlinear source is acting in the interior of the domain and (2) the right half-line where the nonlinear source is placed at the boundary point. The distinctive feature of this work is that the initial energy is allowed to be non-negative and the momentum is allowed to be infinite in contrast to the previous literature on the blow-up of solutions with time dependent nonlinearities. The common finite momentum assumption is removed by using a compactly supported or rapidly decaying weight function in virial identities - an idea borrowed from [18]. At the end of the paper, a numerical example satisfying the theory is provided.
ISSN: 1534-0392
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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