Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation

DOI10.1512/iumj.2006.55.2827zbMath1124.35071OpenAlexW1987594154MaRDI QIDQ3422451

Luis Vega, Keith M. Rogers, Ana M. Vargas

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1512/iumj.2006.55.2827

zbMATH Keywords

Schrödinger equationpointwise convergence

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (19)

Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data ⋮ Pointwise convergence over fractals for dispersive equations with homogeneous symbol ⋮ Convergence problem of the Kawahara equation on the real line ⋮ Pointwise convergence of solutions to Schrödinger type equations ⋮ Pointwise convergence of sequential Schrödinger means ⋮ On the Foundations of Combinatorial Theory V, Eulerian Differential Operators ⋮ On the dimension of divergence sets of dispersive equations ⋮ Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples ⋮ Fourier decay of fractal measures on hyperboloids ⋮ The Schrödinger equation along curves and the quantum harmonic oscillator ⋮ Sharp estimates for maximal operators associated to the wave equation ⋮ A study on a class of generalized Schrödinger operators ⋮ A local smoothing estimate for the Schrödinger equation ⋮ Problems on pointwise convergence of solutions to the Schrödinger equation ⋮ On pointwise convergence for Schrödinger operator in a convex domain ⋮ Unnamed Item ⋮ Dispersive blow-up for nonlinear Schrödinger equations revisited ⋮ Probabilistic pointwise convergence problem of Schrödinger equations on manifolds ⋮ Reconstruction and stability for piecewise smooth potentials in the plane

This page was built for publication: Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation