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Strichartz Estimates for the Schrödinger Equation on a Tree and Applications

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Publication:3006347
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DOI10.1137/09076996XzbMath1217.35199MaRDI QIDQ3006347

Liviu I. Ignat

Publication date: 10 June 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)


zbMATH Keywords

Schrödinger equationquantum graphsStrichartz estimates


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger and Feynman-Kac semigroups (47D08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)


Related Items (7)

Dispersive effects for the Schrödinger equation on the tadpole graph ⋮ Hardy uncertainty principle for the linear Schrödinger equation on regular quantum trees ⋮ Dispersive properties for discrete Schrödinger equations ⋮ Exponential stability for the nonlinear Schrödinger equation on a star-shaped network ⋮ Dispersion for the 1-D Schrödinger equation with several Dirac potentials ⋮ The Schrödinger equation on a star-shaped graph under general coupling conditions ⋮ Dispersion for the Schrödinger equation on networks




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