Maximal function estimates of solutions to general dispersive partial differential equations
DOI10.1090/S0002-9947-99-02116-9zbMath0914.35038OpenAlexW1583003823MaRDI QIDQ4216313
Publication date: 26 October 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02116-9
phase functionsglobal maximal operatorweighted \(L^p\)-estimatespolynomials of principal typeregular zeroes
Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for linear higher-order PDEs (35G10) Multipliers in one variable harmonic analysis (42A45)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Small solutions to nonlinear Schrödinger equations
- An operational procedure for Hankel type integrals
- Regularity of solutions to the Schrödinger equation
- Radial functions and regularity of solutions to the Schrödinger equation
- A remark on Schrödinger operators
- A Strong Type (2,2) Estimate for a Maximal Operator Associated to the Schrodinger Equation
- On the maximal operator associated with the free Schrödinger equation
- Interpolation of Operators with Change of Measures
- On the Weighted Estimate of the Solution Associated with the Schrodinger Equation
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Global maximal estimates for solutions to the Schrödinger equation
This page was built for publication: Maximal function estimates of solutions to general dispersive partial differential equations