Strichartz and smoothing estimates in weighted L^2 spaces and their applications
DOI10.1512/iumj.2021.70.8501zbMath1484.35098arXiv1803.10430OpenAlexW3175466351MaRDI QIDQ5153371
Publication date: 29 September 2021
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10430
well-posednessSchrödinger equationswave equationsStrichartz estimatessmoothing estimatesMorrey-Campanato class
Function spaces arising in harmonic analysis (42B35) Wave equation (35L05) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
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- Global unique continuation from a half space for the Schrödinger equation
- On some Schrödinger and wave equations with time dependent potentials
- Strichatz inequalities with weights in Morrey-Campanato classes
- On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications
- A note on weighted estimates for the Schrödinger operator
- The global Cauchy problem for the nonlinear Schrödinger equation revisited
- Smooth perturbations of the self-adjoint operator \(|\Delta|^{\alpha{}/2}\)
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Global smoothing properties of generalized Schrödinger equations
- Decay and regularity for the Schrödinger equation
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Local regularity of solutions to wave equations with time-dependent potentials
- Carleman estimates for the Schrödinger operator and applications to unique continuation
- Solitons of the fourth order nonlinear Schrödinger equation
- Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
- Strichartz estimates for Schrödinger equations in weighted \(L^2\) spaces and their applications
- A priori estimates for the wave equation and some applications
- Some remarks on the Schrödinger equation with a potential in \(L^r_t L^s_x\)
- On weighted 𝐿² estimates for solutions of the wave equation
- Weighted Strichartz estimates with angular regularity and their applications
- Global Well-Posedness for Higher-Order Schrödinger Equations in WeightedL2Spaces
- Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class
- Modern Fourier Analysis
- On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
- Local smoothing for Kato potentials in three dimensions
- Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Endpoint Strichartz estimates
- SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
- Littlewood–Paley theorem on spaces L p(t)(ℝ n )
- Fourier transforms of surface-carried measures and differentiability of surface averages
- Regularity of solutions to the free Schrödinger equation with radial initial data
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