Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions n ≥ 4

DOI10.1080/03605300600635103zbMath1107.35074arXivmath/0602058OpenAlexW2056763886MaRDI QIDQ3424262

Georgi Vodev

Publication date: 15 February 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602058

zbMATH Keywords

wave equationdispersive estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates ⋮ Semi-classical dispersive estimates ⋮ Time decay estimates for the wave equation with potential in dimension two ⋮ Optimal Dispersive Estimates for the Wave Equation with Potentials in Dimensions 4 ≤ n ≤ 7

Cites Work

• A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
• On the wave equation with a large rough potential
• Dispersive estimates of solutions to the Schrödinger equation
• L^pEstimates for the wave equation with a potential
• OptimalL^∞decay for solutions to the wave equation with a potential
• Decay Estimates for the Wave Equation with Potential