Geodesic
On decay of the Schr\"odinger resolvent
Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 170-176

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We strengthen the known Agmon–Jensen–Kato decay of the resolvent for a special case of the Schrödinger equation in arbitrary dimension $n\ge1$. The decay is of crucial importance in applications to linear and nonlinear hyperbolic PDEs. 
@article{TRSPY_2010_270_a11,
     author = {E. A. Kopylova},
     title = {On decay of the {Schr\"odinger} resolvent},
     journal = {Informatics and Automation},
     pages = {170--176},
     publisher = {mathdoc},
     volume = {270},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a11/}
}
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E. A. Kopylova. On decay of the Schr\"odinger resolvent. Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 170-176. http://geodesic.mathdoc.fr/item/TRSPY_2010_270_a11/