Besov and Triebel-Lizorkin spaces for Schrödinger operators with inverse-square potentials and applications
DOI10.1016/j.jde.2019.12.016zbMath1437.35690OpenAlexW4205851219MaRDI QIDQ1986521
Publication date: 8 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.12.016
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Fractional partial differential equations (35R11) Heat kernel (35K08)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- End-point maximal \(L^1\)-regularity for the Cauchy problem to a parabolic equation with variable coefficients
- Scattering theory for nonlinear Schrödinger equations with inverse-square potential
- The energy-critical NLS with inverse-square potential
- Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials
- Calderón reproducing formulas and new Besov spaces associated with operators
- Global well-posedness of the critical Burgers equation in critical Besov spaces
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities.
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- The semigroup generated by the Dirichlet Laplacian of fractional order
- Plancherel-type estimates and sharp spectral multipliers
- \(L^p\) estimates for the wave equation with the inverse-square potential
- Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients
- Global heat kernel bounds via desingularizing weights
- Kato smoothing and Strichartz estimates for wave equations with magnetic potentials
- Differentiable even functions
- Change of Variable Results for A p -and Reverse Holder RH r -Classes
- The heat kernel of a Schrödinger operator with inverse square potential
- Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
- Two‐dimensional chemotaxis models with fractional diffusion
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
This page was built for publication: Besov and Triebel-Lizorkin spaces for Schrödinger operators with inverse-square potentials and applications