A counter-example concerning maximal estimates for solutions to equations of Schrodinger type

DOI10.1512/iumj.1998.47.1560zbMath0913.42017OpenAlexW2090049919MaRDI QIDQ4221428

Per Sjoelin

Publication date: 30 May 1999

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/982.htm

zbMATH Keywords

Sobolev spacesFourier transformsinitial value problemSchrödinger equationsmaximal functions\(L^p\) estimates

Mathematics Subject Classification ID

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

Related Items (5)

Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples ⋮ Sharp estimates for maximal operators associated to the wave equation ⋮ Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation ⋮ A local smoothing estimate for the Schrödinger equation ⋮ Generalized free time-dependent Schrödinger equation with initial data in Fourier Lebesgue spaces

This page was built for publication: A counter-example concerning maximal estimates for solutions to equations of Schrodinger type