Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension
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Publication:6195357
DOI10.1137/23m1566091arXiv2110.07834MaRDI QIDQ6195357
Publication date: 13 March 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07834
compactness methodnonlinear Schrödinger equationblow-upDirac delta potentialconcentration-compactness argumentmodulation analysisenergy-Morawetz estimate
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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