The wave equation on the lattice in two and three dimensions

DOI<663::AID-CPA4>3.0.CO;2-5 10.1002/(SICI)1097-0312(199806)51:6<663::AID-CPA4>3.0.CO;2-5zbMath0928.35089OpenAlexW1971776597MaRDI QIDQ4257023

Pete Schultz

Publication date: 16 December 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199806)51:6<663::aid-cpa4>3.0.co;2-5

zbMATH Keywords

Green's functionpointwise estimatesquare latticesmall-amplitude initial data\(l^p-l^q\) estimates

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Discrete version of topics in analysis (39A12)

Related Items (5)

The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice ⋮ Continuum limit of 2D fractional nonlinear Schrödinger equation ⋮ Sharp time decay estimates for the discrete Klein–Gordon equation ⋮ Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations ⋮ On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice

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