Solvability of Nonlinear Schrödinger Equations with Some Critical Singular Potential via Generalized Hardy-Rellich Inequalities

DOI10.1619/fesi.59.1zbMath1360.35255OpenAlexW2341442103MaRDI QIDQ2816488

Toshiyuki Suzuki

Publication date: 23 August 2016

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.59.1

zbMATH Keywords

nonlinear Schrödinger equationenergy methodsfractional Sobolev spacesStrichartz estimatesHardy-Rellich inequalityinverse-square potentialspherical harmonics decomposition

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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