Radial functions and regularity of solutions to the Schrödinger equation

DOI10.1007/BF01302933zbMath0777.42005MaRDI QIDQ1174070

Elena Prestini

Publication date: 25 June 1992

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178464

zbMATH Keywords

maximal operatorSchrödinger equationradial functionregularity of solutions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Fourier series and coefficients in several variables (42B05)

Related Items (9)

Sharp maximal estimates for doubly oscillatory integrals ⋮ Dimension of divergence sets for dispersive equation ⋮ 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 ⋮ On Schrödinger oscillatory integrals associated with the Dunkl transform ⋮ Convolution with oscillating kernels: Bochner-Riesz and spherical partial sums operators ⋮ Pointwise convergence along restricted directions for the fractional Schrödinger equation ⋮ Maximal function estimates of solutions to general dispersive partial differential equations ⋮ Global \(L^{2}\) estimates for a class of maximal operators associated to general dispersive equations

Cites Work

• Regularity of solutions to the Schrödinger equation
• Almost everywhere convergence of the spherical partial sums for radial functions
• A Strong Type (2,2) Estimate for a Maximal Operator Associated to the Schrodinger Equation
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