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Solutions with expanding compact support of saturated Schr{\"o}dinger equations: self-similar solutions

Solutions with expanding compact support of saturated Schr{\"o}dinger equations: self-similar solutions

来源:Arxiv_logoArxiv
英文摘要

We prove the existence of solutions \(u(t,x)\) of the Schr{\"o}dinger equation with a saturation nonlinear term \((u/|u|)\) having compact support, for each \(t>0,\) that expands with a growth law of the type \(C\sqrt{t}\). The primary tool is considering the self-similar solution of the associated equation. For more information see https://ejde.math.txstate.edu/Volumes/2025/53/abstr.html

Pascal Bégout、Jesus Ildefonso Diaz

IMT

数学物理学

Pascal Bégout,Jesus Ildefonso Diaz.Solutions with expanding compact support of saturated Schr{\"o}dinger equations: self-similar solutions[EB/OL].(2025-06-05)[2025-07-21].https://arxiv.org/abs/2506.04691.点此复制

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