Sharp estimates for maximal operators associated to the wave equation

DOI10.1007/S11512-007-0063-8zbMath1142.35492arXiv0710.0156OpenAlexW3102282250MaRDI QIDQ942043

Keith M. Rogers, Paco Villarroya

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0156

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Wave equation (35L05) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45)

Related Items (14)

Pointwise convergence over fractals for dispersive equations with homogeneous symbol ⋮ Convergence problem of the Kawahara equation on the real line ⋮ Pointwise convergence for the elastic wave equation ⋮ Global range estimates for maximal oscillatory integrals with radial test functions ⋮ A global space-time estimate for dispersive operators through its local estimate ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation with 0 < m < 1 ⋮ Convergence problem of Schrödinger equation and wave equation in low regularity spaces ⋮ Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\) ⋮ On pointwise convergence for Schrödinger operator in a convex domain ⋮ On the dimension of divergence sets of Schrödinger equation with complex time ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation ⋮ Pointwise convergence along non-tangential direction for the Schrödinger equation with complex time ⋮ Pointwise convergence along restricted directions for the fractional Schrödinger equation ⋮ Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications

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