Moshinsky's shutter problem: an initial-value problem for the Klein–Gordon equation

DOI10.1080/00036811.2011.628942zbMath1235.35187OpenAlexW2046830127MaRDI QIDQ3225844

F. V. Kowalski, Paul A. Martin

Publication date: 22 March 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.628942

zbMATH Keywords

method of stationary phaseKlein-Gordon equationasymptotic analysisnon-uniquenessdiscontinuous initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Initial value problems for second-order hyperbolic equations (35L15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• A uniform asymptotic analysis of dispersive wave motion across a space- time shadow boundary
• A uniform asymptotic analysis of dispersive wave motion
• Asymptotic behavior relative to a large parameter of the solution of the Fock-Klein-Gordon equation in the case of a discontinuous initial condition
• Multi-precision Laplace transform inversion
• Derivation of Solutions of the Klein-Gordon Equation from Solutions of the Wave Equation
• The Impact Problem for the Klein-Gordon Equation
• Diffraction in Time

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