STRICHARTZ ESTIMATES FOR WAVE EQUATION WITH INVERSE SQUARE POTENTIAL

DOI10.1142/S0219199713500260zbMath1284.35357arXiv1312.1745OpenAlexW2024779473MaRDI QIDQ5746945

Ji Qiang Zheng, Jun Yong Zhang, Chang Xing Miao

Publication date: 11 February 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1745

zbMATH Keywords

spherical harmonicsStrichartz estimateinverse square potential

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Nonlinear evolution equations (47J35)

Related Items (10)

Linear adjoint restriction estimates for paraboloid ⋮ Global solvability for nonlinear wave equations with singular potential ⋮ Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications ⋮ Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications ⋮ Strichartz estimate of the solutions for the free fractional Schrödinger equation with spatial variable coefficient ⋮ Scattering theory for nonlinear Schrödinger equations with inverse-square potential ⋮ Dispersive estimates for the Dirac equation in an Aharonov-Bohm field ⋮ Long-time existence for semilinear wave equations with the inverse-square potential ⋮ Linear Restriction Estimates for Schrödinger Equation on Metric Cones ⋮ Pointwise dispersive estimates for Schrödinger operators on product cones

Cites Work

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• A sharp bilinear cone restriction estimate
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• On the diffraction of waves by conical singularities. I
• Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation
• A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
• Long-time existence for small amplitude semilinear wave equations
• Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
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