MASS CONCENTRATION WITH MIXED NORM FOR A NONELLIPTIC SCHRÖDINGER EQUATION

DOI10.1017/S1446788712000377zbMath1311.42059OpenAlexW2054102908MaRDI QIDQ2840478

Seheon Ham

Publication date: 18 July 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788712000377

zbMATH Keywords

Schrödinger equationmass concentrationrestriction theorem

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Harmonic analysis and PDEs (42B37)

Cites Work

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• Mass concentration for the \(L^2\)-critical nonlinear Schrödinger equations of higher orders
• A refinement of the Strichartz inequality on the saddle and applications
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• A sharp bilinear restriction estimate for paraboloids
• Restriction theorems for a surface with negative curvature
• Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
• Sharp null form estimates for the wave equation
• Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
• A bilinear approach to the restriction and Kakeya conjectures
• Endpoint Strichartz estimates
• On Mass Concentration for theL²-Critical Nonlinear Schrödinger Equations
• Bilinear restriction estimates for surfaces with curvatures of different signs
• Maximal functions associated to filtrations

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