Global maximal estimates for solutions to the Schrödinger equation

DOI10.4064/sm-110-2-105-114zbMath0829.42017OpenAlexW1131075548MaRDI QIDQ4312378

Per Sjoelin

Publication date: 21 January 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216103

zbMATH Keywords

Sobolev spaceSchrödinger equationmaximal functionsmaximal estimates

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (14)

Transference of local to global \(L^{2}\) maximal estimates for dispersive partial differential equations ⋮ Global range estimates for maximal oscillatory integrals with radial test functions ⋮ Maximal estimate for solutions to a class of dispersive equation with radial initial value ⋮ Sharp estimates for maximal operators associated to the wave equation ⋮ A local smoothing estimate for the Schrödinger equation ⋮ Convergence of solutions of general dispersive equations along curve ⋮ Estimates for multiparameter maximal operators of Schrödinger type ⋮ Unnamed Item ⋮ Stability for the quadratic derivative nonlinear Schrödinger equation and applications to the Korteweg-Kirchhoff type Euler equations for quantum hydrodynamics ⋮ ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME ⋮ Maximal Schrödinger operators with complex time ⋮ Maximal function estimates of solutions to general dispersive partial differential equations ⋮ \(L_p\) and Besov maximal estimates for solutions to the Schrödinger equation ⋮ Global \(L^{2}\) estimates for a class of maximal operators associated to general dispersive equations

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